# 12096

## 12,096 is an even composite number composed of three prime numbers multiplied together.

What does the number 12096 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 56 divisors.

12096 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-six divisors.

## Prime factorization of 12096:

### 26 × 33 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 12096 from the Numbermatics database.

### Names of 12096

• Cardinal: 12096 can be written as Twelve thousand and ninety-six.

### Scientific notation

• Scientific notation: 1.2096 × 104

### Factors of 12096

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 12096

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 40640
• Sum of proper divisors (its aliquot sum) s(n): 28544
• 12096 is an abundant number, because the sum of its proper divisors (28544) is greater than itself. Its abundance is 16448

### Bases of 12096

• Binary: 101111010000002
• Base-36: 9C0

### Squares and roots of 12096

• 12096 squared (120962) is 146313216
• 12096 cubed (120963) is 1769804660736
• The square root of 12096 is 109.9818166789
• The cube root of 12096 is 22.9551741933

### Scales and comparisons

How big is 12096?
• 12,096 seconds is equal to 3 hours, 21 minutes, 36 seconds.
• To count from 1 to 12,096 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 12096 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12096

• 12096 backwards is 69021
• 12096 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12096's digits is 18
• More coming soon!