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12011335992 = 23331711532837
BaseRepresentation
bin10110010111110111…
…00111000100111000
31011000002110002102000
423023323213010320
5144044400222432
65303512341000
7603436446165
oct131373470470
934002402360
1012011335992
1151040a4567
1223b26a4760
131195603506
1481d32d06c
154a475e57c
hex2cbee7138

12011335992 has 128 divisors (see below), whose sum is σ = 35370561600. Its totient is φ = 3763666944.

The previous prime is 12011335969. The next prime is 12011335997. The reversal of 12011335992 is 29953311021.

12011335992 is a `hidden beast` number, since 1 + 20 + 11 + 33 + 599 + 2 = 666.

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 (12011335997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4232398 + ... + 4235234.

Almost surely, 212011335992 is an apocalyptic number.

12011335992 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 12011335992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17685280800).

12011335992 is an abundant number, since it is smaller than the sum of its proper divisors (23359225608).

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

12011335992 is a wasteful number, since it uses less digits than its factorization.

12011335992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 12011335992 in words is "twelve billion, eleven million, three hundred thirty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1153 1224 1836 2306 2837 3459 3672 4612 5674 6918 8511 9224 10377 11348 13836 17022 19601 20754 22696 25533 27672 31131 34044 39202 41508 48229 51066 58803 62262 68088 76599 78404 83016 96458 102132 117606 124524 144687 153198 156808 176409 192916 204264 235212 249048 289374 306396 352818 385832 434061 470424 529227 578748 612792 705636 868122 1058454 1157496 1302183 1411272 1736244 2116908 2604366 3271061 3472488 4233816 5208732 6542122 9813183 10417464 13084244 19626366 26168488 29439549 39252732 55608037 58879098 78505464 88318647 111216074 117758196 166824111 176637294 222432148 235516392 333648222 353274588 444864296 500472333 667296444 706549176 1000944666 1334592888 1501416999 2001889332 3002833998 4003778664 6005667996 12011335992