12101576256 has 840 divisors, whose sum is σ = 46921228992. Its totient is φ = 3048192000.

The previous prime is 12101576251. The next prime is 12101576269. The reversal of 12101576256 is 65267510121.

12101576256 is a `hidden beast` number, since 1 + 2 + 10 + 15 + 7 + 625 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12101576256.

It is not an unprimeable number, because it can be changed into a prime (12101576251) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170444701 + ... + 170444771.

Almost surely, 2^12101576256 is an apocalyptic number.

12101576256 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 12101576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23460614496).

12101576256 is an abundant number, since it is smaller than the sum of its proper divisors (34819652736).

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

12101576256 is a wasteful number, since it uses less digits than its factorization.

12101576256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12101576256 in words is "twelve billion, one hundred one million, five hundred seventy-six thousand, two hundred fifty-six".