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12012592666896 = 2432797691373159
BaseRepresentation
bin1010111011001110011001…
…0100011001100100010000
31120112101121020101212021200
42232303212110121210100
53033303242210320041
641314301530351200
72346611146634043
oct256634624314420
946471536355250
1012012592666896
11391156a435928
121420154b8b500
13691a23583283
142d75ac1d4c5a
1515c71d7111b6
hexaece6519910

12012592666896 has 120 divisors (see below), whose sum is σ = 34088422368000. Its totient is φ = 3948367527936.

The previous prime is 12012592666829. The next prime is 12012592666903. The reversal of 12012592666896 is 69866629521021.

It is a happy number.

It is a super-2 number, since 2×120125926668962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8061565 + ... + 9434723.

It is an arithmetic number, because the mean of its divisors is an integer number (284070186400).

Almost surely, 212012592666896 is an apocalyptic number.

12012592666896 is a gapful number since it is divisible by the number (16) 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 12012592666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044211184000).

12012592666896 is an abundant number, since it is smaller than the sum of its proper divisors (22075829701104).

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

12012592666896 is a wasteful number, since it uses less digits than its factorization.

12012592666896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374021 (or 1374012 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 12012592666896 in words is "twelve trillion, twelve billion, five hundred ninety-two million, six hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 769 948 1264 1422 1538 1896 2307 2844 3076 3792 4614 5688 6152 6921 9228 11376 12304 13842 18456 27684 36912 55368 60751 110736 121502 182253 243004 364506 486008 546759 729012 972016 1093518 1373159 1458024 2187036 2746318 2916048 4119477 4374072 5492636 8238954 8748144 10985272 12358431 16477908 21970544 24716862 32955816 49433724 65911632 98867448 108479561 197734896 216959122 325438683 433918244 650877366 867836488 976316049 1055959271 1301754732 1735672976 1952632098 2111918542 2603509464 3167877813 3905264196 4223837084 5207018928 6335755626 7810528392 8447674168 9503633439 12671511252 15621056784 16895348336 19007266878 25343022504 38014533756 50686045008 76029067512 83420782409 152058135024 166841564818 250262347227 333683129636 500524694454 667366259272 750787041681 1001049388908 1334732518544 1501574083362 2002098777816 3003148166724 4004197555632 6006296333448 12012592666896