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12015364312 = 23717233714831
BaseRepresentation
bin10110011000010101…
…11110100011011000
31011000101000202020001
423030022332203120
5144101413124222
65304134542344
7603515624440
oct131412764330
934011022201
1012015364312
1151063a6056
1223b3b079b4
1311963b3c33
1481da9b120
154a4ca7e27
hex2cc2be8d8

12015364312 has 128 divisors (see below), whose sum is σ = 29217853440. Its totient is φ = 4510218240.

The previous prime is 12015364297. The next prime is 12015364327. The reversal of 12015364312 is 21346351021.

12015364312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12015364297) and next prime (12015364327).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802737 + ... + 817567.

It is an arithmetic number, because the mean of its divisors is an integer number (228264480).

Almost surely, 212015364312 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 12015364312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608926720).

12015364312 is an abundant number, since it is smaller than the sum of its proper divisors (17202489128).

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

12015364312 is a wasteful number, since it uses less digits than its factorization.

12015364312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 12015364312 in words is "twelve billion, fifteen million, three hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 23 28 34 37 46 56 68 74 92 119 136 148 161 184 238 259 296 322 391 476 518 629 644 782 851 952 1036 1258 1288 1564 1702 2072 2516 2737 3128 3404 4403 5032 5474 5957 6808 8806 10948 11914 14467 14831 17612 21896 23828 28934 29662 35224 47656 57868 59324 101269 103817 115736 118648 202538 207634 252127 341113 405076 415268 504254 548747 682226 810152 830536 1008508 1097494 1364452 1764889 2017016 2194988 2387791 2728904 3529778 3841229 4389976 4775582 5798921 7059556 7682458 9328699 9551164 11597842 12621181 14119112 15364916 18657398 19102328 23195684 25242362 30729832 37314796 40592447 46391368 50484724 65300893 74629592 81184894 88348267 100969448 130601786 162369788 176696534 214560077 261203572 324739576 353393068 429120154 522407144 706786136 858240308 1501920539 1716480616 3003841078 6007682156 12015364312