12812955217920 has 1040 divisors, whose sum is σ = 53962140510432. Its totient is φ = 2867181649920.

The previous prime is 12812955217901. The next prime is 12812955217967. The reversal of 12812955217920 is 2971255921821.

12812955217920 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 95 + 521 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237192834 + ... + 237246846.

Almost surely, 2^{12812955217920} is an apocalyptic number.

12812955217920 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 12812955217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26981070255216).

12812955217920 is an abundant number, since it is smaller than the sum of its proper divisors (41149185292512).

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

12812955217920 is a wasteful number, since it uses less digits than its factorization.

12812955217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54078 (or 54047 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 12812955217920 in words is "twelve trillion, eight hundred twelve billion, nine hundred fifty-five million, two hundred seventeen thousand, nine hundred twenty".