||one hundred twenty
(one hundred and twentieth)
||23× 3 × 5
||1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
120, read as one hundred (and) twenty, is the natural number following 119 and preceding 121.
In English and other Germanic languages, it was also formerly known as "one hundred". This "hundred" of six score is now obsolete, but is described as the long hundred or great hundred in historical contexts.
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, being adjacent to 119 = 7 × 17 and 121 = 112.
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.
120 is the atomic number of Unbinilium, an element yet to be discovered.
- 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 that the Queen of Sheba gave to 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.
In other fields
120 is also:
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The Japan Times
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Fri, 13 Nov 2015 15:14:20 -0800
Authorities said the death toll could still exceed the 120 number from the attacks on at least six sites, including the national stadium and a tight circle of popular nightspots. Hollande, who had to be evacuated from the stadium when the bombs went ...
Forsyth Herald (press release)
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Sun, 22 Nov 2015 21:03:45 -0800
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Mon, 02 Nov 2015 06:16:34 -0800
For example, Bianchi recently sent out a mailing which claimed Tyer was going to hire 27 officers to build the police force up to the 120 number recommended by the police chief. Tyer says that is not true but that she will make a focus on building the ...
Dayton Daily News
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Thu, 02 Apr 2015 09:03:11 -0700
By the numbers. 2,300: Total number of employees at Assurant in Springfield, making it the largest employer in Clark County. 120: Number of positions being eliminated in Springfield and Dayton this week. 232: Number of positions eliminated since fall ...
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Tue, 20 Oct 2015 15:16:08 -0700
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Fri, 04 Sep 2015 22:15:00 -0700
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San Jose Mercury News
Fri, 26 Jun 2015 15:17:34 -0700
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Tue, 15 Sep 2015 20:56:32 -0700
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