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121010222120 = 23517297518171
BaseRepresentation
bin111000010110011000…
…1010111010000101000
3102120100102002012201112
41300230301113100220
53440312104101440
6131331421005452
711512513626254
oct1605461272050
9376312065645
10121010222120
114735812aa37
121b5520b3888
13b546593238
145bdd595264
153233a05965
hex1c2cc57428

121010222120 has 128 divisors (see below), whose sum is σ = 298663718400. Its totient is φ = 43921920000.

The previous prime is 121010222117. The next prime is 121010222129. The reversal of 121010222120 is 21222010121.

It is a junction number, because it is equal to n+sod(n) for n = 121010222095 and 121010222104.

It is not an unprimeable number, because it can be changed into a prime (121010222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14805635 + ... + 14813805.

It is an arithmetic number, because the mean of its divisors is an integer number (2333310300).

Almost surely, 2121010222120 is an apocalyptic number.

121010222120 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 121010222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149331859200).

121010222120 is an abundant number, since it is smaller than the sum of its proper divisors (177653496280).

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

121010222120 is a wasteful number, since it uses less digits than its factorization.

121010222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121010222120 its reverse (21222010121), we get a palindrome (142232232241).

The spelling of 121010222120 in words is "one hundred twenty-one billion, ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 751 986 1160 1502 1972 2465 3004 3755 3944 4930 6008 7510 8171 9860 12767 15020 16342 19720 21779 25534 30040 32684 40855 43558 51068 63835 65368 81710 87116 102136 108895 127670 138907 163420 174232 217790 236959 255340 277814 326840 370243 435580 473918 510680 555628 694535 740486 871160 947836 1111256 1184795 1389070 1480972 1851215 1895672 2369590 2778140 2961944 3702430 4028303 4739180 5556280 6136421 7404860 8056606 9478360 12272842 14809720 16113212 20141515 24545684 30682105 32226424 40283030 49091368 61364210 80566060 104319157 122728420 161132120 177956209 208638314 245456840 355912418 417276628 521595785 711824836 834553256 889781045 1043191570 1423649672 1779562090 2086383140 3025255553 3559124180 4172766280 6050511106 7118248360 12101022212 15126277765 24202044424 30252555530 60505111060 121010222120