# 12512

## 12,512 is an even composite number composed of three prime numbers multiplied together.

What does the number 12512 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

12512 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 12512:

### 25 × 17 × 23

(2 × 2 × 2 × 2 × 2 × 17 × 23)

See below for interesting mathematical facts about the number 12512 from the Numbermatics database.

### Names of 12512

• Cardinal: 12512 can be written as Twelve thousand, five hundred twelve.

### Scientific notation

• Scientific notation: 1.2512 × 104

### Factors of 12512

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 42

### Divisors of 12512

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 27216
• Sum of proper divisors (its aliquot sum) s(n): 14704
• 12512 is an abundant number, because the sum of its proper divisors (14704) is greater than itself. Its abundance is 2192

### Bases of 12512

• Binary: 110000111000002
• Base-36: 9NK

### Squares and roots of 12512

• 12512 squared (125122) is 156550144
• 12512 cubed (125123) is 1958755401728
• The square root of 12512 is 111.8570516331
• The cube root of 12512 is 23.2153683349

### Scales and comparisons

How big is 12512?
• 12,512 seconds is equal to 3 hours, 28 minutes, 32 seconds.
• To count from 1 to 12,512 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 12512 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12512

• 12512 backwards is 21521
• The number of decimal digits it has is: 5
• The sum of 12512's digits is 11
• More coming soon!