12403225128960 has 1040 divisors, whose sum is σ = 46228430017440. Its totient is φ = 3190464184320.

The previous prime is 12403225128947. The next prime is 12403225129013. The reversal of 12403225128960 is 6982152230421.

12403225128960 is a `hidden beast` number, since 1 + 2 + 40 + 3 + 2 + 2 + 512 + 8 + 96 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 11690126830 + ... + 11690127890.

Almost surely, 2^{12403225128960} is an apocalyptic number.

12403225128960 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 12403225128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23114215008720).

12403225128960 is an abundant number, since it is smaller than the sum of its proper divisors (33825204888480).

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

12403225128960 is an frugal number, since it uses more digits than its factorization.

12403225128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12403225128960 in words is "twelve trillion, four hundred three billion, two hundred twenty-five million, one hundred twenty-eight thousand, nine hundred sixty".