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122664708094152 = 23372925177485241
BaseRepresentation
bin11011111001000000011010…
…010110100011100011001000
3121002022122001102011201011110
4123321000122112203203020
5112034214310233003102
61112515220003130320
734560142550234040
oct3371003226434310
9532278042151143
10122664708094152
11360a28a0947454
12119112aa6739a0
13535a3035b1743
142241009a50720
15e2abcd1e986c
hex6f901a5a38c8

122664708094152 has 64 divisors (see below), whose sum is σ = 362555787484800. Its totient is φ = 33838540162560.

The previous prime is 122664708094133. The next prime is 122664708094177. The reversal of 122664708094152 is 251490807466221.

It is a super-2 number, since 2×1226647080941522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122664708094092 and 122664708094101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12588737749 + ... + 12588747492.

It is an arithmetic number, because the mean of its divisors is an integer number (5664934179450).

Almost surely, 2122664708094152 is an apocalyptic number.

122664708094152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122664708094152 is an abundant number, since it is smaller than the sum of its proper divisors (239891079390648).

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

122664708094152 is a wasteful number, since it uses less digits than its factorization.

122664708094152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25177485286 (or 25177485282 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 122664708094152 in words is "one hundred twenty-two trillion, six hundred sixty-four billion, seven hundred eight million, ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 25177485241 50354970482 75532455723 100709940964 151064911446 176242396687 201419881928 302129822892 352484793374 528727190061 604259645784 704969586748 730147071989 1057454380122 1409939173496 1460294143978 2114908760244 2190441215967 2920588287956 4229817520488 4380882431934 5111029503923 5841176575912 8761764863868 10222059007846 15333088511769 17523529727736 20444118015692 30666177023538 40888236031384 61332354047076 122664708094152