12401317864320 has 1536 divisors, whose sum is σ = 50964887715840. Its totient is φ = 2536095744000.

The previous prime is 12401317864259. The next prime is 12401317864349. The reversal of 12401317864320 is 2346871310421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20634472020 + ... + 20634472620.

It is an arithmetic number, because the mean of its divisors is an integer number (33180265440).

Almost surely, 2^{12401317864320} is an apocalyptic number.

12401317864320 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 12401317864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482443857920).

12401317864320 is an abundant number, since it is smaller than the sum of its proper divisors (38563569851520).

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

12401317864320 is a wasteful number, since it uses less digits than its factorization.

12401317864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12401317864320 in words is "twelve trillion, four hundred one billion, three hundred seventeen million, eight hundred sixty-four thousand, three hundred twenty".