12678868800 has 504 divisors, whose sum is σ = 49139901720. Its totient is φ = 3081830400.

The previous prime is 12678868793. The next prime is 12678868831. The reversal of 12678868800 is 886887621.

12678868800 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 12 ways, for example, as 11514148416 + 1164720384 = 107304^2 + 34128^2 .

It is a super-2 number, since 2×12678868800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 16660420 + ... + 16661180.

It is an arithmetic number, because the mean of its divisors is an integer number (97499805).

Almost surely, 2^12678868800 is an apocalyptic number.

12678868800 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 12678868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24569950860).

12678868800 is an abundant number, since it is smaller than the sum of its proper divisors (36461032920).

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

12678868800 is a wasteful number, since it uses less digits than its factorization.

12678868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 12678868800 in words is "twelve billion, six hundred seventy-eight million, eight hundred sixty-eight thousand, eight hundred".