12801931960320 has 280 divisors, whose sum is σ = 45894507351264. Its totient is φ = 3413847638016.

The previous prime is 12801931960319. The next prime is 12801931960351. The reversal of 12801931960320 is 2306913910821.

It is a happy number.

12801931960320 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 9 + 3 + 19 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1388457 + ... + 5247063.

Almost surely, 2^{12801931960320} is an apocalyptic number.

12801931960320 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 12801931960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22947253675632).

12801931960320 is an abundant number, since it is smaller than the sum of its proper divisors (33092575390944).

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

12801931960320 is an frugal number, since it uses more digits than its factorization.

12801931960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858650 (or 3858617 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12801931960320 in words is "twelve trillion, eight hundred one billion, nine hundred thirty-one million, nine hundred sixty thousand, three hundred twenty".