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121120010102120 = 23597907183118797
BaseRepresentation
bin11011100010100001110011…
…001011010110010101101000
3120212211221220202101022102112
4123202201303023112111220
5111333412240041231440
61105333433044221452
734340426522031641
oct3342416313262550
9525757822338375
10121120010102120
1135657787124087
1211701a5239a888
13527774ca08a53
1421ca34dccc6c8
15e00921bba965
hex6e28732d6568

121120010102120 has 128 divisors (see below), whose sum is σ = 275798276732160. Its totient is φ = 47866970234880.

The previous prime is 121120010102059. The next prime is 121120010102131. The reversal of 121120010102120 is 21201010021121.

It is a junction number, because it is equal to n+sod(n) for n = 121120010102095 and 121120010102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6443572562 + ... + 6443591358.

It is an arithmetic number, because the mean of its divisors is an integer number (2154674036970).

Almost surely, 2121120010102120 is an apocalyptic number.

121120010102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120010102120 is an abundant number, since it is smaller than the sum of its proper divisors (154678266630040).

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

121120010102120 is a wasteful number, since it uses less digits than its factorization.

121120010102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21643 (or 21639 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121120010102120 its reverse (21201010021121), we get a palindrome (142321020123241).

The spelling of 121120010102120 in words is "one hundred twenty-one trillion, one hundred twenty billion, ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 907 970 1814 1831 1940 3628 3662 3880 4535 7256 7324 9070 9155 14648 18140 18310 18797 36280 36620 37594 73240 75188 87979 93985 150376 175958 177607 187970 351916 355214 375940 439895 703832 710428 751880 879790 888035 1420856 1660717 1759580 1776070 1823309 3321434 3519160 3552140 3646618 6642868 7104280 7293236 8303585 9116545 13285736 14586472 16607170 17048879 18233090 33214340 34097758 34417307 36466180 66428680 68195516 68834614 72932360 85244395 136391032 137669228 161089549 170488790 172086535 275338456 322179098 340977580 344173070 644358196 681955160 688346140 805447745 1288716392 1376692280 1610895490 1653741263 3221790980 3307482526 3338478779 6443581960 6614965052 6676957558 8268706315 13229930104 13353915116 16537412630 16692393895 26707830232 31216497449 33074825260 33384787790 62432994898 66149650520 66769575580 124865989796 133539151160 156082487245 249731979592 312164974490 624329948980 1248659897960 3028000252553 6056000505106 12112001010212 15140001262765 24224002020424 30280002525530 60560005051060 121120010102120