# 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!

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"Number 12168 - Facts about the integer". Numbermatics.com. 2023. Web. 3 February 2023.

APA style:
Numbermatics. (2023). Number 12168 - Facts about the integer. Retrieved 3 February 2023, from https://numbermatics.com/n/12168/

Chicago style:
Numbermatics. 2023. "Number 12168 - Facts about the integer". https://numbermatics.com/n/12168/

The information we have on file for 12168 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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