120

Names of 120

• Cardinal: 120 can be written as One hundred twenty.

Scientific notation

• Scientific notation: 1.2 × 10²

Factors of 120

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 10

Divisors of 120

• Number of divisors d(n): 16
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120
• Sum of all divisors σ(n): 360
• Sum of proper divisors (its aliquot sum) s(n): 240
• 120 is an abundant number, because the sum of its proper divisors (240) is greater than itself. Its abundance is 120

Bases of 120

• Binary: 1111000₂
• Hexadecimal: 0x78
• Base-36: 3C

Squares and roots of 120

• 120 squared (120²) is 14400
• 120 cubed (120³) is 1728000
• The square root of 120 is 10.9544511501
• The cube root of 120 is 4.9324241487

Scales and comparisons

• 120 seconds is equal to 2 minutes.
• To count from 1 to 120 would take you about .

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 120 cubic inches would be around 0.4 feet tall.

Recreational maths with 120

• 120 backwards is 021
• 120 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 120's digits is 3
• More coming soon!