# 120

## 120 is an even composite number composed of three prime numbers multiplied together.

What does the number 120 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

120 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 120:

### 23 × 3 × 5

(2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 120 from the Numbermatics database.

### 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:
• 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
• 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

How big is 120?
• 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!