12980669644800 has 3192 divisors, whose sum is σ = 59688439174560. Its totient is φ = 2751882854400.

The previous prime is 12980669644757. The next prime is 12980669644801. The reversal of 12980669644800 is 844696608921.

12980669644800 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 0 + 66 + 96 + 4 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980669644801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 683193139191 + ... + 683193139209.

Almost surely, 2^{12980669644800} is an apocalyptic number.

12980669644800 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 12980669644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29844219587280).

12980669644800 is an abundant number, since it is smaller than the sum of its proper divisors (46707769529760).

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

12980669644800 is an frugal number, since it uses more digits than its factorization.

12980669644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 12980669644800 in words is "twelve trillion, nine hundred eighty billion, six hundred sixty-nine million, six hundred forty-four thousand, eight hundred".