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122332000112 = 2473157176163
BaseRepresentation
bin111000111101110001…
…1100010111101110000
3102200202112020111020222
41301323203202331300
54001013443000422
6132110515152212
711560333562360
oct1617343427560
9380675214228
10122332000112
1147976252343
121b8608a5668
13b6c73849aa
145cc6d449a0
1532aea98842
hex1c7b8e2f70

122332000112 has 80 divisors (see below), whose sum is σ = 279710287872. Its totient is φ = 50719668480.

The previous prime is 122332000069. The next prime is 122332000123. The reversal of 122332000112 is 211000233221.

It is a congruent number.

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, 19846343 + ... + 19852505.

Almost surely, 2122332000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139855143936).

122332000112 is an abundant number, since it is smaller than the sum of its proper divisors (157378287760).

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

122332000112 is a wasteful number, since it uses less digits than its factorization.

122332000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122332000112 its reverse (211000233221), we get a palindrome (333332233333).

The spelling of 122332000112 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5717 6163 11434 12326 22868 24652 40019 43141 45736 49304 80038 86282 91472 98608 160076 172564 177227 191053 320152 345128 354454 382106 640304 690256 708908 764212 1240589 1337371 1417816 1528424 2481178 2674742 2835632 3056848 4962356 5349484 9924712 10698968 19849424 21397936 35233871 70467742 140935484 246637097 281870968 493274194 563741936 986548388 1092250001 1973096776 2184500002 3946193552 4369000004 7645750007 8738000008 15291500014 17476000016 30583000028 61166000056 122332000112