12980397393600 has 672 divisors, whose sum is σ = 52434055005696. Its totient is φ = 2737682841600.

The previous prime is 12980397393589. The next prime is 12980397393673. The reversal of 12980397393600 is 639379308921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1839361272 + ... + 1839368328.

It is an arithmetic number, because the mean of its divisors is an integer number (78026867568).

Almost surely, 2^{12980397393600} is an apocalyptic number.

12980397393600 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 12980397393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26217027502848).

12980397393600 is an abundant number, since it is smaller than the sum of its proper divisors (39453657612096).

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

12980397393600 is a wasteful number, since it uses less digits than its factorization.

12980397393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 12980397393600 in words is "twelve trillion, nine hundred eighty billion, three hundred ninety-seven million, three hundred ninety-three thousand, six hundred".