122112

122,112 is an even composite number composed of three prime numbers multiplied together.

What does the number 122112 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

122112 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 122112:

2⁸ × 3² × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 53)

See below for interesting mathematical facts about the number 122112 from the Numbermatics database.

Names of 122112

Cardinal: 122112 can be written as One hundred twenty-two thousand, one hundred twelve.

Scientific notation

Scientific notation: 1.22112 × 10⁵

Factors of 122112

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 58

Divisors of 122112

Number of divisors d(n): 54
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 20352 30528 40704 61056 122112
Sum of all divisors σ(n): 358722
Sum of proper divisors (its aliquot sum) s(n): 236610
122112 is an abundant number, because the sum of its proper divisors (236610) is greater than itself. Its abundance is 114498

Bases of 122112

Binary: 11101110100000000₂
Hexadecimal: 0x1DD00
Base-36: 2M80

Squares and roots of 122112

122112 squared (122112²) is 14911340544
122112 cubed (122112³) is 1820853616508928
The square root of 122112 is 349.4452746855
The cube root of 122112 is 49.6119291459

Scales and comparisons

How big is 122112?

122,112 seconds is equal to 1 day, 9 hours, 55 minutes, 12 seconds.
To count from 1 to 122,112 would take you about nine 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 122112 cubic inches would be around 4.1 feet tall.

Recreational maths with 122112

122112 backwards is 211221
122112 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 122112's digits is 9
More coming soon!

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The information we have on file for 122112 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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