12256102647360 has 1792 divisors, whose sum is σ = 51812683776000. Its totient is φ = 2704263045120.

The previous prime is 12256102647353. The next prime is 12256102647379. The reversal of 12256102647360 is 6374620165221.

12256102647360 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 610 + 26 + 4 + 7 + 3 + 6 + 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16495427149 + ... + 16495427891.

It is an arithmetic number, because the mean of its divisors is an integer number (28913328000).

Almost surely, 2^{12256102647360} is an apocalyptic number.

12256102647360 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 12256102647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25906341888000).

12256102647360 is an abundant number, since it is smaller than the sum of its proper divisors (39556581128640).

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

12256102647360 is a wasteful number, since it uses less digits than its factorization.

12256102647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12256102647360 in words is "twelve trillion, two hundred fifty-six billion, one hundred two million, six hundred forty-seven thousand, three hundred sixty".