123120
123,120 is an even composite number composed of four prime numbers multiplied together.
123120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred divisors.
Prime factorization of 123120:
24 × 34 × 5 × 19
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19)See below for interesting mathematical facts about the number 123120 from the Numbermatics database.
Names of 123120
- Cardinal: 123120 can be written as One hundred twenty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2312 × 105
Factors of 123120
Divisors of 123120
- Number of divisors d(n): 100
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 81 90 95 108 114 120 135 144 152 162 171 180 190 216 228 240 270 285 304 324 342 360 380 405 432 456 513 540 570 648 684 720 760 810 855 912 1026 1080 1140 1296 1368 1520 1539 1620 1710 2052 2160 2280 2565 2736 3078 3240 3420 4104 4560 5130 6156 6480 6840 7695 8208 10260 12312 13680 15390 20520 24624 30780 41040 61560 123120
- Sum of all divisors σ(n): 450120
- Sum of proper divisors (its aliquot sum) s(n): 327000
- 123120 is an abundant number, because the sum of its proper divisors (327000) is greater than itself. Its abundance is 203880
Bases of 123120
- Binary: 111100000111100002
- Hexadecimal: 0x1E0F0
- Base-36: 2N00
Squares and roots of 123120
- 123120 squared (1231202) is 15158534400
- 123120 cubed (1231203) is 1866318755328000
-
The
square root of 123120 is 350.8845964131 -
The
cube root of 123120 is 49.7480660511
Scales and comparisons
How big is 123120?- 123,120 seconds is equal to 1 day, 10 hours, 12 minutes.
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To count from 1 to 123,120 would take you about ten 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 123120 cubic inches would be around 4.1 feet tall.
Recreational maths with 123120
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The information we have on file for 123120 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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