# 12168

## 12,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 12168 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

12168 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 12168:

### 23 × 32 × 132

(2 × 2 × 2 × 3 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 12168 from the Numbermatics database.

### Names of 12168

• Cardinal: 12168 can be written as Twelve thousand, one hundred sixty-eight.

### Scientific notation

• Scientific notation: 1.2168 × 104

### Factors of 12168

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 18

### Divisors of 12168

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 35685
• Sum of proper divisors (its aliquot sum) s(n): 23517
• 12168 is an abundant number, because the sum of its proper divisors (23517) is greater than itself. Its abundance is 11349

### Bases of 12168

• Binary: 101111100010002
• Base-36: 9E0

### Squares and roots of 12168

• 12168 squared (121682) is 148060224
• 12168 cubed (121683) is 1801596805632
• The square root of 12168 is 110.3086578651
• The cube root of 12168 is 23.0006301025

### Scales and comparisons

How big is 12168?
• 12,168 seconds is equal to 3 hours, 22 minutes, 48 seconds.
• To count from 1 to 12,168 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 12168 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12168

• 12168 backwards is 86121
• 12168 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12168's digits is 18
• More coming soon!