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12125675520 = 213325737127
BaseRepresentation
bin10110100101011111…
…10010000000000000
31011022001121010202100
423102233302000000
5144313133104040
65323115150400
7606325353450
oct132257620000
934261533670
1012125675520
11516269a542
122424a45400
1311b31c7b3a
148305b3d60
154ae7e7b30
hex2d2bf2000

12125675520 has 672 divisors, whose sum is σ = 49724633088. Its totient is φ = 2675441664.

The previous prime is 12125675491. The next prime is 12125675533. The reversal of 12125675520 is 2557652121.

12125675520 is a `hidden beast` number, since 1 + 2 + 12 + 56 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 95477697 + ... + 95477823.

Almost surely, 212125675520 is an apocalyptic number.

12125675520 is a gapful number since it is divisible by the number (10) 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 12125675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862316544).

12125675520 is an abundant number, since it is smaller than the sum of its proper divisors (37598957568).

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

12125675520 is a wasteful number, since it uses less digits than its factorization.

12125675520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12125675520 in words is "twelve billion, one hundred twenty-five million, six hundred seventy-five thousand, five hundred twenty".