# 12000

## 12,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 12000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

12000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 12000:

### 25 × 3 × 53

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 12000 from the Numbermatics database.

### Names of 12000

• Cardinal: 12000 can be written as Twelve thousand.

### Scientific notation

• Scientific notation: 1.2 × 104

### Factors of 12000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

### Divisors of 12000

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 39312
• Sum of proper divisors (its aliquot sum) s(n): 27312
• 12000 is an abundant number, because the sum of its proper divisors (27312) is greater than itself. Its abundance is 15312

### Bases of 12000

• Binary: 101110111000002
• Base-36: 99C

### Squares and roots of 12000

• 12000 squared (120002) is 144000000
• 12000 cubed (120003) is 1728000000000
• The square root of 12000 is 109.5445115011
• The cube root of 12000 is 22.8942848511

### Scales and comparisons

How big is 12000?
• 12,000 seconds is equal to 3 hours, 20 minutes.
• To count from 1 to 12,000 would take you about three hours.

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 12000 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12000

• 12000 backwards is 00021
• 12000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12000's digits is 3
• More coming soon!