12681496800 has 1296 divisors, whose sum is σ = 58503568032. Its totient is φ = 2521497600.

The previous prime is 12681496777. The next prime is 12681496831. The reversal of 12681496800 is 869418621.

12681496800 is a `hidden beast` number, since 1 + 2 + 6 + 81 + 496 + 80 + 0 = 666.

It is a super-2 number, since 2×12681496800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 309304780 + ... + 309304820.

It is an arithmetic number, because the mean of its divisors is an integer number (45141642).

Almost surely, 2^12681496800 is an apocalyptic number.

12681496800 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 12681496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29251784016).

12681496800 is an abundant number, since it is smaller than the sum of its proper divisors (45822071232).

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

12681496800 is a wasteful number, since it uses less digits than its factorization.

12681496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12681496800 in words is "twelve billion, six hundred eighty-one million, four hundred ninety-six thousand, eight hundred".