12856868000 has 96 divisors (see below), whose sum is σ = 31722779088. Its totient is φ = 5121024000.

The previous prime is 12856867993. The next prime is 12856868039. The reversal of 12856868000 is 86865821.

12856868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 499433104 + 12357434896 = 22348^2 + 111164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957332 + ... + 970668.

Almost surely, 2^12856868000 is an apocalyptic number.

12856868000 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 12856868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861389544).

12856868000 is an abundant number, since it is smaller than the sum of its proper divisors (18865911088).

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

12856868000 is a wasteful number, since it uses less digits than its factorization.

12856868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13603 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 12856868000 in words is "twelve billion, eight hundred fifty-six million, eight hundred sixty-eight thousand".