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129312612 = 223411132791
BaseRepresentation
bin1111011010100…
…10011101100100
3100000022202120000
413231102131210
5231101000422
620455341300
73130065462
oct755223544
9300282500
10129312612
1166aa2530
1237381830
1320a37950
1413261832
15b544cac
hex7b52764

129312612 has 120 divisors (see below), whose sum is σ = 397290432. Its totient is φ = 36158400.

The previous prime is 129312611. The next prime is 129312649. The reversal of 129312612 is 216213921.

129312612 is a `hidden beast` number, since 12 + 9 + 31 + 2 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (129312611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44937 + ... + 47727.

Almost surely, 2129312612 is an apocalyptic number.

129312612 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 129312612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198645216).

129312612 is an abundant number, since it is smaller than the sum of its proper divisors (267977820).

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

129312612 is a wasteful number, since it uses less digits than its factorization.

129312612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 129312612 is about 11371.5703401069. The cubic root of 129312612 is about 505.6852599584.

The spelling of 129312612 in words is "one hundred twenty-nine million, three hundred twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 1053 1188 1287 1404 1716 1782 2106 2574 2791 3564 3861 4212 5148 5582 7722 8373 11164 11583 15444 16746 23166 25119 30701 33492 36283 46332 50238 61402 72566 75357 92103 100476 108849 122804 145132 150714 184206 217698 226071 276309 301428 326547 368412 399113 435396 452142 552618 653094 798226 828927 904284 979641 1105236 1197339 1306188 1596452 1657854 1959282 2394678 2486781 2938923 3315708 3592017 3918564 4789356 4973562 5877846 7184034 9947124 10776051 11755692 14368068 21552102 32328153 43104204 64656306 129312612