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12004313613024 = 253937133452437
BaseRepresentation
bin1010111010101111100011…
…0110010100001011100000
31120111121020020220100102210
42232223320312110023200
53033134313241104044
641310412221442120
72346166040063535
oct256537066241340
946447206810383
1012004313613024
1139090010a0147
12141a624410340
13691004297325
142d702484ad8c
1515c3d69931b9
hexaeaf8d942e0

12004313613024 has 48 divisors (see below), whose sum is σ = 31544953484688. Its totient is φ = 3997167363072.

The previous prime is 12004313613007. The next prime is 12004313613037. The reversal of 12004313613024 is 42031631340021.

12004313613024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12004313612982 and 12004313613000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66636267 + ... + 66816170.

It is an arithmetic number, because the mean of its divisors is an integer number (657186530931).

Almost surely, 212004313613024 is an apocalyptic number.

It is an amenable number.

12004313613024 is an abundant number, since it is smaller than the sum of its proper divisors (19540639871664).

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

12004313613024 is a wasteful number, since it uses less digits than its factorization.

12004313613024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133453387 (or 133453379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12004313613024 its reverse (42031631340021), we get a palindrome (54035944953045).

The spelling of 12004313613024 in words is "twelve trillion, four billion, three hundred thirteen million, six hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 937 1874 2811 3748 5622 7496 11244 14992 22488 29984 44976 89952 133452437 266904874 400357311 533809748 800714622 1067619496 1601429244 2135238992 3202858488 4270477984 6405716976 12811433952 125044933469 250089866938 375134800407 500179733876 750269600814 1000359467752 1500539201628 2000718935504 3001078403256 4001437871008 6002156806512 12004313613024