12401588160 has 448 divisors, whose sum is σ = 48282514560. Its totient is φ = 2977136640.

The previous prime is 12401588153. The next prime is 12401588197. The reversal of 12401588160 is 6188510421.

12401588160 is a `hidden beast` number, since 12 + 4 + 0 + 1 + 588 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4603774 + ... + 4606466.

It is an arithmetic number, because the mean of its divisors is an integer number (107773470).

Almost surely, 2^12401588160 is an apocalyptic number.

12401588160 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 12401588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141257280).

12401588160 is an abundant number, since it is smaller than the sum of its proper divisors (35880926400).

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

12401588160 is a wasteful number, since it uses less digits than its factorization.

12401588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12401588160 in words is "twelve billion, four hundred one million, five hundred eighty-eight thousand, one hundred sixty".