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12242542400 = 265211695599
BaseRepresentation
bin10110110011011011…
…00101111101000000
31011121012111120222022
423121231211331000
5200033042324100
65342452101012
7612244615304
oct133155457500
934535446868
1012242542400
115212661340
122458004768
13120149593a
14841d15d04
154b9bcee85
hex2d9b65f40

12242542400 has 84 divisors (see below), whose sum is σ = 32862926400. Its totient is φ = 4451827200.

The previous prime is 12242542399. The next prime is 12242542409. The reversal of 12242542400 is 424524221.

It is a self number, because there is not a number n which added to its sum of digits gives 12242542400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242542409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330200 + ... + 365399.

Almost surely, 212242542400 is an apocalyptic number.

12242542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12242542400 is an abundant number, since it is smaller than the sum of its proper divisors (20620384000).

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

12242542400 is a wasteful number, since it uses less digits than its factorization.

12242542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695632 (or 695617 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The spelling of 12242542400 in words is "twelve billion, two hundred forty-two million, five hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 695599 1391198 2782396 3477995 5564792 6955990 7651589 11129584 13911980 15303178 17389975 22259168 27823960 30606356 34779950 38257945 44518336 55647920 61212712 69559900 76515890 111295840 122425424 139119800 153031780 191289725 222591680 244850848 278239600 306063560 382579450 489701696 556479200 612127120 765158900 1112958400 1224254240 1530317800 2448508480 3060635600 6121271200 12242542400