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12013123104 = 253259706987
BaseRepresentation
bin10110011000000100…
…11011011000100000
31011000012210212212100
423030002123120200
5144100324414404
65304014530400
7603460601343
oct131402333040
934005725770
1012013123104
115105105214
1223b3206a00
131195aaaa88
1481d67645a
154a49b3d39
hex2cc09b620

12013123104 has 72 divisors (see below), whose sum is σ = 34741390320. Its totient is φ = 3936498048.

The previous prime is 12013123093. The next prime is 12013123139. The reversal of 12013123104 is 40132131021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336502 + ... + 370485.

It is an arithmetic number, because the mean of its divisors is an integer number (482519310).

Almost surely, 212013123104 is an apocalyptic number.

It is an amenable number.

12013123104 is an abundant number, since it is smaller than the sum of its proper divisors (22728267216).

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

12013123104 is a wasteful number, since it uses less digits than its factorization.

12013123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707062 (or 707051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013123104 its reverse (40132131021), we get a palindrome (52145254125).

The spelling of 12013123104 in words is "twelve billion, thirteen million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 706987 1413974 2120961 2827948 4241922 5655896 6362883 8483844 11311792 12725766 16967688 22623584 25451532 33935376 41712233 50903064 67870752 83424466 101806128 125136699 166848932 203612256 250273398 333697864 375410097 500546796 667395728 750820194 1001093592 1334791456 1501640388 2002187184 3003280776 4004374368 6006561552 12013123104