12256515216 has 160 divisors (see below), whose sum is σ = 39416822400. Its totient is φ = 3613662720.

The previous prime is 12256515199. The next prime is 12256515223. The reversal of 12256515216 is 61251565221.

12256515216 is a `hidden beast` number, since 122 + 5 + 6 + 5 + 1 + 521 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140970 + ... + 210678.

It is an arithmetic number, because the mean of its divisors is an integer number (246355140).

Almost surely, 2^12256515216 is an apocalyptic number.

12256515216 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 12256515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19708411200).

12256515216 is an abundant number, since it is smaller than the sum of its proper divisors (27160307184).

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

12256515216 is a wasteful number, since it uses less digits than its factorization.

12256515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69774 (or 69762 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 12256515216 in words is "twelve billion, two hundred fifty-six million, five hundred fifteen thousand, two hundred sixteen".