12682656000 has 864 divisors, whose sum is σ = 54319120128. Its totient is φ = 2886451200.

The previous prime is 12682655983. The next prime is 12682656011. The reversal of 12682656000 is 65628621.

12682656000 is a `hidden beast` number, since 1 + 26 + 8 + 26 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54431884 + ... + 54432116.

It is an arithmetic number, because the mean of its divisors is an integer number (62869352).

Almost surely, 2^12682656000 is an apocalyptic number.

12682656000 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 12682656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159560064).

12682656000 is an abundant number, since it is smaller than the sum of its proper divisors (41636464128).

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

12682656000 is an frugal number, since it uses more digits than its factorization.

12682656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12682656000 in words is "twelve billion, six hundred eighty-two million, six hundred fifty-six thousand".