# 12500

## 12,500 is an even composite number composed of two prime numbers multiplied together.

What does the number 12500 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

12500 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 12500:

### 22 × 55

(2 × 2 × 5 × 5 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 12500 from the Numbermatics database.

### Names of 12500

• Cardinal: 12500 can be written as Twelve thousand, five hundred.

### Scientific notation

• Scientific notation: 1.25 × 104

### Factors of 12500

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 7

### Divisors of 12500

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 27342
• Sum of proper divisors (its aliquot sum) s(n): 14842
• 12500 is an abundant number, because the sum of its proper divisors (14842) is greater than itself. Its abundance is 2342

### Bases of 12500

• Binary: 110000110101002
• Base-36: 9N8

### Squares and roots of 12500

• 12500 squared (125002) is 156250000
• 12500 cubed (125003) is 1953125000000
• The square root of 12500 is 111.8033988749
• The cube root of 12500 is 23.2079441681

### Scales and comparisons

How big is 12500?
• 12,500 seconds is equal to 3 hours, 28 minutes, 20 seconds.
• To count from 1 to 12,500 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 12500 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12500

• 12500 backwards is 00521
• The number of decimal digits it has is: 5
• The sum of 12500's digits is 8
• More coming soon!