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120201221100 = 223524110196757
BaseRepresentation
bin110111111110010001…
…1010001001111101100
3102111021000210200221210
41233330203101033230
53432133003033400
6131115241154420
711453461343562
oct1577443211754
9374230720853
10120201221100
1146a82501554
121b36718ba10
13b447aab3cc
145b63d65a32
1531d79a1950
hex1bfc8d13ec

120201221100 has 144 divisors (see below), whose sum is σ = 359795784096. Its totient is φ = 30961920000.

The previous prime is 120201221099. The next prime is 120201221111. The reversal of 120201221100 is 1122102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193922 + ... + 1290678.

It is an arithmetic number, because the mean of its divisors is an integer number (2498581834).

Almost surely, 2120201221100 is an apocalyptic number.

120201221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120201221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179897892048).

120201221100 is an abundant number, since it is smaller than the sum of its proper divisors (239594562996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120201221100 is a wasteful number, since it uses less digits than its factorization.

120201221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96916 (or 96909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120201221100 its reverse (1122102021), we get a palindrome (121323323121).

The spelling of 120201221100 in words is "one hundred twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 101 123 150 164 202 205 246 300 303 404 410 492 505 606 615 820 1010 1025 1212 1230 1515 2020 2050 2460 2525 3030 3075 4100 4141 5050 6060 6150 7575 8282 10100 12300 12423 15150 16564 20705 24846 30300 41410 49692 62115 82820 96757 103525 124230 193514 207050 248460 290271 310575 387028 414100 483785 580542 621150 967570 1161084 1242300 1451355 1935140 2418925 2902710 3967037 4837850 5805420 7256775 7934074 9675700 9772457 11901111 14513550 15868148 19544914 19835185 23802222 29027100 29317371 39089828 39670370 47604444 48862285 58634742 59505555 79340740 97724570 99175925 117269484 119011110 146586855 195449140 198351850 238022220 244311425 293173710 297527775 396703700 400670737 488622850 586347420 595055550 732934275 801341474 977245700 1190111100 1202012211 1465868550 1602682948 2003353685 2404024422 2931737100 4006707370 4808048844 6010061055 8013414740 10016768425 12020122110 20033536850 24040244220 30050305275 40067073700 60100610550 120201221100