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12242651136 = 21132968711
BaseRepresentation
bin10110110011011100…
…00000100000000000
31011121012201010010120
423121232000200000
5200033104314021
65342454300240
7612245550312
oct133156004000
934535633116
1012242651136
115212726001
122458057680
131201503291
14841d437b2
154b9c022c6
hex2d9b80800

12242651136 has 96 divisors (see below), whose sum is σ = 33765076800. Its totient is φ = 3940106240.

The previous prime is 12242651081. The next prime is 12242651191. The reversal of 12242651136 is 63115624221.

It is an interprime number because it is at equal distance from previous prime (12242651081) and next prime (12242651191).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12242651097 and 12242651106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143821 + ... + 212531.

It is an arithmetic number, because the mean of its divisors is an integer number (351719550).

Almost surely, 212242651136 is an apocalyptic number.

12242651136 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 12242651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882538400).

12242651136 is an abundant number, since it is smaller than the sum of its proper divisors (21522425664).

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

12242651136 is an equidigital number, since it uses as much as digits as its factorization.

12242651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68765 (or 68745 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 12242651136 in words is "twelve billion, two hundred forty-two million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 5568 6144 7424 11136 14848 22272 29696 44544 59392 68711 89088 137422 178176 206133 274844 412266 549688 824532 1099376 1649064 1992619 2198752 3298128 3985238 4397504 5977857 6596256 7970476 8795008 11955714 13192512 15940952 17590016 23911428 26385024 31881904 35180032 47822856 52770048 63763808 70360064 95645712 105540096 127527616 140720128 191291424 211080192 255055232 382582848 422160384 510110464 765165696 1020220928 1530331392 2040441856 3060662784 4080883712 6121325568 12242651136