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121121012121093 = 325910112724377297
BaseRepresentation
bin11011100010100010101110…
…111001101111111000000101
3120212212001111120212011001100
4123202202232321233320011
5111333421313100333333
61105334120321050313
734340463410042025
oct3342425671577005
9525761446764040
10121121012121093
11356581507a6836
1211702091a86999
13527787c4a1b9a
1421ca407003a85
15e0097eb4a213
hex6e28aee6fe05

121121012121093 has 96 divisors (see below), whose sum is σ = 181193370808320. Its totient is φ = 77931295948800.

The previous prime is 121121012121037. The next prime is 121121012121167. The reversal of 121121012121093 is 390121210121121.

121121012121093 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 21 + 210 + 9 + 3 = 666.

It is not a de Polignac number, because 121121012121093 - 212 = 121121012116997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121012123093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16598737221 + ... + 16598744517.

It is an arithmetic number, because the mean of its divisors is an integer number (1887430945920).

Almost surely, 2121121012121093 is an apocalyptic number.

It is an amenable number.

121121012121093 is a deficient number, since it is larger than the sum of its proper divisors (60072358687227).

121121012121093 is a wasteful number, since it uses less digits than its factorization.

121121012121093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 121121012121093 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 59 101 127 177 303 381 531 909 1143 2437 5959 7297 7311 7493 12827 17877 21891 21933 22479 38481 53631 65673 67437 115443 143783 246137 309499 430523 431349 736997 738411 756793 926719 928497 1291569 1294047 2210991 2215233 2270379 2780157 2785491 3874707 6632973 6811137 8340471 14522083 17782789 18260441 31259399 43482823 43566249 53348367 54676421 54781323 93598619 93778197 130448469 130698747 160045101 164029263 164343969 280795857 281334591 391345407 492087789 842387571 1049184551 1796061689 1844304541 2258414203 3147553653 5388185067 5522318521 5532913623 6775242609 9442660959 16164555201 16566955563 16598740869 20325727827 49700866689 105967639651 133246437977 228099834503 317902918953 399739313931 684299503509 953708756859 1199217941793 2052898510527 13457890235677 40373670707031 121121012121093