122117120
122,117,120 is an even composite number composed of five prime numbers multiplied together.
122117120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 122117120:
210 × 5 × 17 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 23 × 61)See below for interesting mathematical facts about the number 122117120 from the Numbermatics database.
Names of 122117120
- Cardinal: 122117120 can be written as One hundred twenty-two million, one hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2211712 × 108
Factors of 122117120
Divisors of 122117120
- Number of divisors d(n): 176
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 32 34 40 46 61 64 68 80 85 92 115 122 128 136 160 170 184 230 244 256 272 305 320 340 368 391 460 488 512 544 610 640 680 736 782 920 976 1024 1037 1088 1220 1280 1360 1403 1472 1564 1840 1952 1955 2074 2176 2440 2560 2720 2806 2944 3128 3680 3904 3910 4148 4352 4880 5120 5185 5440 5612 5888 6256 7015 7360 7808 7820 8296 8704 9760 10370 10880 11224 11776 12512 14030 14720 15616 15640 16592 17408 19520 20740 21760 22448 23552 23851 25024 28060 29440 31232 31280 33184 39040 41480 43520 44896 47702 50048 56120 58880 62464 62560 66368 78080 82960 87040 89792 95404 100096 112240 117760 119255 125120 132736 156160 165920 179584 190808 200192 224480 238510 250240 265472 312320 331840 359168 381616 400384 448960 477020 500480 530944 663680 718336 763232 897920 954040 1000960 1061888 1327360 1436672 1526464 1795840 1908080 2001920 2654720 3052928 3591680 3816160 5309440 6105856 7183360 7632320 12211712 15264640 24423424 30529280 61058560 122117120
- Sum of all divisors σ(n): 328961088
- Sum of proper divisors (its aliquot sum) s(n): 206843968
- 122117120 is an abundant number, because the sum of its proper divisors (206843968) is greater than itself. Its abundance is 84726848
Bases of 122117120
- Binary: 1110100011101011100000000002
- Hexadecimal: 0x7475C00
- Base-36: 20PE68
Squares and roots of 122117120
- 122117120 squared (1221171202) is 14912590997094400
- 122117120 cubed (1221171203) is 1821082664303096496128000
-
The
square root of 122117120 is 11050.6615186603 -
The
cube root of 122117120 is 496.1262252455
Scales and comparisons
How big is 122117120?- 122,117,120 seconds is equal to 3 years, 45 weeks, 6 days, 9 hours, 25 minutes, 20 seconds.
-
To count from 1 to 122,117,120 would take you about five years!
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 122117120 cubic inches would be around 41.3 feet tall.
Recreational maths with 122117120
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 122117120 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 122117120 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/122117120/
Chicago style:
Numbermatics. 2024. "Number 122117120 - Facts about the integer". https://numbermatics.com/n/122117120/
The information we have on file for 122117120 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!
Keywords: Divisors of 122117120, math, Factors of 122117120, curriculum, school, college, exams, university, Prime factorization of 122117120, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two million, one hundred seventeen thousand, one hundred twenty.