12812960168800 has 216 divisors, whose sum is σ = 34592725564488. Its totient is φ = 4630668134400.

The previous prime is 12812960168773. The next prime is 12812960168819. The reversal of 12812960168800 is 886106921821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15372372 + ... + 16184428.

It is an arithmetic number, because the mean of its divisors is an integer number (160151507243).

Almost surely, 2^{12812960168800} is an apocalyptic number.

12812960168800 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 12812960168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296362782244).

12812960168800 is an abundant number, since it is smaller than the sum of its proper divisors (21779765395688).

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

12812960168800 is a wasteful number, since it uses less digits than its factorization.

12812960168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812262 (or 812238 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The spelling of 12812960168800 in words is "twelve trillion, eight hundred twelve billion, nine hundred sixty million, one hundred sixty-eight thousand, eight hundred".