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12516364212 = 22311733074231
BaseRepresentation
bin10111010100000100…
…01000111110110100
31012022021202011212220
423222002020332310
5201113142123322
65425553042340
7622111224522
oct135202107664
935267664786
1012516364212
115343185760
1225138563b0
131246129191
1486a433312
154d3c6c55c
hex2ea088fb4

12516364212 has 96 divisors (see below), whose sum is σ = 32409129984. Its totient is φ = 3727814400.

The previous prime is 12516364199. The next prime is 12516364261. The reversal of 12516364212 is 21246361521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2956137 + ... + 2960367.

It is an arithmetic number, because the mean of its divisors is an integer number (337595104).

Almost surely, 212516364212 is an apocalyptic number.

12516364212 is a gapful number since it is divisible by the number (12) 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 12516364212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204564992).

12516364212 is an abundant number, since it is smaller than the sum of its proper divisors (19892765772).

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

12516364212 is a wasteful number, since it uses less digits than its factorization.

12516364212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4627 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 12516364212 in words is "twelve billion, five hundred sixteen million, three hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 307 438 614 803 876 921 1228 1606 1842 2409 3212 3377 3684 4231 4818 6754 8462 9636 10131 12693 13508 16924 20262 22411 25386 40524 44822 46541 50772 67233 89644 93082 134466 139623 186164 246521 268932 279246 308863 493042 558492 617726 739563 926589 986084 1235452 1298917 1479126 1853178 2597834 2958252 3397493 3706356 3896751 5195668 6794986 7793502 10192479 13589972 14288087 15587004 20384958 28576174 40769916 42864261 57152348 85728522 94820941 171457044 189641882 284462823 379283764 568925646 1043030351 1137851292 2086060702 3129091053 4172121404 6258182106 12516364212