12979209830400 has 2040 divisors, whose sum is σ = 55646610380064. Its totient is φ = 2955726028800.

The previous prime is 12979209830393. The next prime is 12979209830423. The reversal of 12979209830400 is 403890297921.

12979209830400 is a `hidden beast` number, since 1 + 29 + 7 + 9 + 209 + 8 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

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

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 119 ways as a sum of consecutive naturals, for example, 24816844539 + ... + 24816845061.

Almost surely, 2^{12979209830400} is an apocalyptic number.

12979209830400 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 12979209830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27823305190032).

12979209830400 is an abundant number, since it is smaller than the sum of its proper divisors (42667400549664).

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

12979209830400 is an equidigital number, since it uses as much as digits as its factorization.

12979209830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 12979209830400 in words is "twelve trillion, nine hundred seventy-nine billion, two hundred nine million, eight hundred thirty thousand, four hundred".