# 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!

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The information we have on file for 12000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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