12461309794560 has 432 divisors, whose sum is σ = 46047661894080. Its totient is φ = 2861925580800.

The previous prime is 12461309794511. The next prime is 12461309794573. The reversal of 12461309794560 is 6549790316421.

12461309794560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 12461309794560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8122390 + ... + 9533930.

It is an arithmetic number, because the mean of its divisors is an integer number (106591809940).

Almost surely, 2^{12461309794560} is an apocalyptic number.

12461309794560 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 12461309794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023830947040).

12461309794560 is an abundant number, since it is smaller than the sum of its proper divisors (33586352099520).

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

12461309794560 is a wasteful number, since it uses less digits than its factorization.

12461309794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411606 (or 1411581 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 12461309794560 in words is "twelve trillion, four hundred sixty-one billion, three hundred nine million, seven hundred ninety-four thousand, five hundred sixty".