# 1200

## 1,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 1200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

1200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 1200:

### 24 × 3 × 52

(2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 1200 from the Numbermatics database.

### Names of 1200

• Cardinal: 1200 can be written as One thousand, two hundred.

### Scientific notation

• Scientific notation: 1.2 × 103

### Factors of 1200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

### Divisors of 1200

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 3844
• Sum of proper divisors (its aliquot sum) s(n): 2644
• 1200 is an abundant number, because the sum of its proper divisors (2644) is greater than itself. Its abundance is 1444

### Bases of 1200

• Binary: 100101100002
• Base-36: XC

### Squares and roots of 1200

• 1200 squared (12002) is 1440000
• 1200 cubed (12003) is 1728000000
• The square root of 1200 is 34.6410161513
• The cube root of 1200 is 10.6265856921

### Scales and comparisons

How big is 1200?
• 1,200 seconds is equal to 20 minutes.
• To count from 1 to 1,200 would take you about twenty minutes.

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 1200 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1200

• 1200 backwards is 0021
• 1200 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1200's digits is 3
• More coming soon!