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12912500088 = 2333179337991
BaseRepresentation
bin11000000011010010…
…10001110101111000
31020022220010222011000
430001221101311320
5202421100000323
65533143405000
7634661303565
oct140151216570
936286128130
1012912500088
115526851484
122604453760
1312aa2169c7
148a6cad86c
1550891ae43
hex301a51d78

12912500088 has 128 divisors (see below), whose sum is σ = 36211968000. Its totient is φ = 4263114240.

The previous prime is 12912500063. The next prime is 12912500089. The reversal of 12912500088 is 88000521921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12912500089) 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, 13029273 + ... + 13030263.

It is an arithmetic number, because the mean of its divisors is an integer number (282906000).

Almost surely, 212912500088 is an apocalyptic number.

12912500088 is a gapful number since it is divisible by the number (18) 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 12912500088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984000).

12912500088 is an abundant number, since it is smaller than the sum of its proper divisors (23299467912).

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

12912500088 is a wasteful number, since it uses less digits than its factorization.

12912500088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12912500088 in words is "twelve billion, nine hundred twelve million, five hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 337 358 537 674 716 991 1011 1074 1348 1432 1611 1982 2022 2148 2696 2973 3033 3222 3964 4044 4296 4833 5946 6066 6444 7928 8088 8919 9099 9666 11892 12132 12888 17838 18198 19332 23784 24264 26757 35676 36396 38664 53514 60323 71352 72792 107028 120646 177389 180969 214056 241292 333967 354778 361938 482584 532167 542907 667934 709556 723876 1001901 1064334 1085814 1335868 1419112 1447752 1596501 1628721 2003802 2128668 2171628 2671736 3005703 3193002 3257442 4007604 4257336 4343256 4789503 6011406 6386004 6514884 8015208 9017109 9579006 12022812 12772008 13029768 18034218 19158012 24045624 36068436 38316024 59780093 72136872 119560186 179340279 239120372 358680558 478240744 538020837 717361116 1076041674 1434722232 1614062511 2152083348 3228125022 4304166696 6456250044 12912500088