122016

122,016 is an even composite number composed of four prime numbers multiplied together.

What does the number 122016 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

122016 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 122016:

2⁵ × 3 × 31 × 41

(2 × 2 × 2 × 2 × 2 × 3 × 31 × 41)

See below for interesting mathematical facts about the number 122016 from the Numbermatics database.

Names of 122016

Cardinal: 122016 can be written as One hundred twenty-two thousand and sixteen.

Scientific notation

Scientific notation: 1.22016 × 10⁵

Factors of 122016

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 77

Divisors of 122016

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 30504 40672 61008 122016
Sum of all divisors σ(n): 338688
Sum of proper divisors (its aliquot sum) s(n): 216672
122016 is an abundant number, because the sum of its proper divisors (216672) is greater than itself. Its abundance is 94656

Bases of 122016

Binary: 11101110010100000₂
Hexadecimal: 0x1DCA0
Base-36: 2M5C

Squares and roots of 122016

122016 squared (122016²) is 14887904256
122016 cubed (122016³) is 1816562525700096
The square root of 122016 is 349.3078871139
The cube root of 122016 is 49.5989247079

Scales and comparisons

How big is 122016?

122,016 seconds is equal to 1 day, 9 hours, 53 minutes, 36 seconds.
To count from 1 to 122,016 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 122016 cubic inches would be around 4.1 feet tall.

Recreational maths with 122016

122016 backwards is 610221
122016 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 122016's digits is 12
More coming soon!

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The information we have on file for 122016 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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