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119 120 121
Cardinal one hundred twenty
Ordinal 120th
(one hundred and twentieth)
Factorization 23× 3 × 5
Divisors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Roman numeral CXX
Binary 11110002
Ternary 111103
Quaternary 13204
Quinary 4405
Senary 3206
Octal 1708
Duodecimal A012
Hexadecimal 7816
Vigesimal 6020
Base 36 3C36
The 120-cell (or hecatonicosachoron) is a convex regular 4-polytope consisting of 120 dodecahedral cells

120 (one hundred [and] twenty) is the natural number following 119 and preceding 121. 120 was known as "the great hundred", especially prior to the year 1700, from the Teutonic Hundert which equalled 120. The number 100, now known commonly as "one hundred" was then known as "the small hundred".

In mathematics[edit]

120 is the factorial of 5, and the sum of a twin prime pair (59 + 61). 120 is the sum of four consecutive prime numbers (23 + 29 + 31 + 37), four consecutive powers of 2 (8+16+32+64), and four consecutive powers of 3 (3 + 9 + 27 + 81). It is highly composite, superabundant, and colossally abundant number, with its 16 divisors being more than any number lower than it has, and it is also the smallest number to have exactly that many divisors. It is also a sparsely totient number. 120 is the smallest number to appear six times in Pascal's triangle. 120 is also the smallest multiple of 6 with no adjacent prime number.

It is the eighth hexagonal number and the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. 120 is divisible by the first 5 triangular numbers and the first 4 tetrahedral numbers.

120 is the first multiply perfect number of order three (a 3-perfect or triperfect number). The sum of its factors (including one and itself) sum to 360; exactly three times 120. Note that perfect numbers are order two (2-perfect) by the same definition.

120 is divisible by the number of primes below it, 30 in this case. However there is no integer which has 120 as the sum of its proper divisors, making 120 an untouchable number.

The sum of Euler's totient function φ(x) over the first nineteen integers is 120.

120 figures in Pierre de Fermat's modified Diophantine problem as the largest known integer of the sequence 1, 3, 8, 120. Fermat wanted to find another positive integer that multiplied with any of the other numbers in the sequence yields a number that is one less than a square. Leonhard Euler also searched for this number, but failed to find it, but did find a fractional number that meets the other conditions, 777480 / 28792.

The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120 degrees.

120 is a Harshad number in base 10.

In science[edit]

120 is the atomic number of Unbinilium, an element yet to be discovered.

In religion[edit]

  • The cubits of the height of the Temple building (II Chronicles 3:4)
  • The age at which Moses died (Deut. 34:7).
    • By extension, in Jewish tradition, to wish someone a long life, one says, "Live until 120"
  • The number of Men of the Great Assembly who canonized the Books of the Tanakh and formulated the Jewish prayers
  • The number of talents of gold Queen Sheba gave to King Solomon in tribute (I Kings 10:10)
  • The number of princes King Darius set over his kingdom (Daniel 6:2)
  • The summed weight in shekels of the gold spoons offered by each tribal prince of Israel (Num. 7:86).
  • In astrology, when two planets in a person's chart are 120 degrees apart from each other, this is called a trine. This is supposed to bring good luck in the person's life.[1]

In sports[edit]


In games[edit]

In other fields[edit]

120 is also:

See also[edit]

References[edit]

  1. ^ "Astrology And The Black Man". Afro American. January 31, 1970. Retrieved December 30, 2010. 
  2. ^ The Game Court, National Basketball Association, retrieved 2014-04-07.
  3. ^ Porter, Darwin; Danforth Prince (2009). Frommer's Austria. Hoboken, New Jersey: Frommer's. p. 482. ISBN 978-0-470-39897-5. 

Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/120_(number) — Please support Wikipedia.
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SB Nation

SB Nation
Wed, 17 Dec 2014 07:36:59 -0800

For Self to make that 120 number real, he's including a lot of mock drafts that no reasonable fan, scout or GM considers worthy of much. And again, most of those don't show up until April ... when the NCAA season is over, after underclassmen have declared.

America Magazine

America Magazine
Thu, 11 Dec 2014 09:07:33 -0800

John Paul II derogated from the 120 number on a number of occasions, and Francis did so at his first consistory. It would come as no surprise, therefore, if he were to do likewise in February and create 12 new cardinal electors. Speculation has already ...

Montgomery Advertiser

Montgomery Advertiser
Fri, 21 Nov 2014 23:18:45 -0800

48: Number of wins for Barlow at Alabama State in eight seasons. 61: Number of points Stillman allowed in a 42-point loss to Tuskegee. 120: Number of penalty yards against Alabama State last week at Grambling. PREDICTION. If this is Barlow's last game ...

Edmonton Journal

Edmonton Journal
Thu, 27 Nov 2014 20:37:56 -0800

120: Number of snow plows and sanders the city deployed Thursday to clear Edmonton's roads. 135: Number of collisions Edmonton police had responded to by 9 p.m. on Thursday. 40.6: Greatest single-day snowfall in Edmonton history, in centimetres, ...

Irish Times

Irish Times
Mon, 24 Nov 2014 13:39:13 -0800

The number of unaccompanied minors seeking asylum referred to the Child and Family Agency was 120 Number of unaccompanied child asylum seekers in State care unknown · Fr Paddy Byrne, Minister Aodhán Ó Ríordáin, Monsignor John Byrne and ...
 
BBC News
Tue, 25 Dec 2012 00:24:24 -0800

With Guglielmo Marconi opening the first wireless factory in Chelmsford, Essex can claim to be the county that gave the world radio. But as well as creating the airwaves, it boasts connections with many of the most successful songs sent across them.
 
The Oakland Press
Thu, 13 Nov 2014 07:19:06 -0800

120: Number of snow guns at Pine Knob. $7,500-$10,000: Cost to run snow guns per eight-hour shift overnight at Alpine and Pine Knob. 1 million gallons: How much water is typically used in an eight-hour shift. 48 hours: How long, weather permitting, it ...
 
The Patriot-News
Fri, 19 Sep 2014 05:48:00 -0700

If Hull stays healthy, I wouldn't bet against him reach that 120 number. 6. Sam Ficken is off to a good start, but keep an eye on his attempts from 40 yards and out. Ficken made all four field-goal attempts in the 26-24 win over UCF, including the game ...
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