12818029996800 has 648 divisors, whose sum is σ = 52405111545696. Its totient is φ = 2928101621760.

The previous prime is 12818029996799. The next prime is 12818029996853. The reversal of 12818029996800 is 869992081821.

12818029996800 is a `hidden beast` number, since 1 + 2 + 8 + 180 + 299 + 96 + 80 + 0 = 666.

12818029996800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 756797932 + ... + 756814868.

Almost surely, 2^{12818029996800} is an apocalyptic number.

12818029996800 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 12818029996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26202555772848).

12818029996800 is an abundant number, since it is smaller than the sum of its proper divisors (39587081548896).

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

12818029996800 is a wasteful number, since it uses less digits than its factorization.

12818029996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18853 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 12818029996800 in words is "twelve trillion, eight hundred eighteen billion, twenty-nine million, nine hundred ninety-six thousand, eight hundred".