12256807653000 has 640 divisors, whose sum is σ = 43724635194240. Its totient is φ = 3201768000000.

The previous prime is 12256807652993. The next prime is 12256807653017. The reversal of 12256807653000 is 35670865221.

12256807653000 is a `hidden beast` number, since 1 + 22 + 568 + 0 + 7 + 65 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1240186059 + ... + 1240195941.

It is an arithmetic number, because the mean of its divisors is an integer number (68319742491).

Almost surely, 2^{12256807653000} is an apocalyptic number.

12256807653000 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 12256807653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862317597120).

12256807653000 is an abundant number, since it is smaller than the sum of its proper divisors (31467827541240).

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

12256807653000 is a wasteful number, since it uses less digits than its factorization.

12256807653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12256807653000 in words is "twelve trillion, two hundred fifty-six billion, eight hundred seven million, six hundred fifty-three thousand".