12010900400160 has 576 divisors, whose sum is σ = 41435841807360. Its totient is φ = 2914826342400.

The previous prime is 12010900400143. The next prime is 12010900400197. The reversal of 12010900400160 is 6100400901021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12010900400160.

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, 1459223245 + ... + 1459231475.

It is an arithmetic number, because the mean of its divisors is an integer number (71937225360).

Almost surely, 2^{12010900400160} is an apocalyptic number.

12010900400160 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 12010900400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717920903680).

12010900400160 is an abundant number, since it is smaller than the sum of its proper divisors (29424941407200).

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

12010900400160 is a wasteful number, since it uses less digits than its factorization.

12010900400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12010900400160 in words is "twelve trillion, ten billion, nine hundred million, four hundred thousand, one hundred sixty".