12415970304 has 264 divisors, whose sum is σ = 38116744848. Its totient is φ = 4034396160.

The previous prime is 12415970297. The next prime is 12415970341. The reversal of 12415970304 is 40307951421.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10201504 + ... + 10202720.

Almost surely, 2^12415970304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12415970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058372424).

12415970304 is an abundant number, since it is smaller than the sum of its proper divisors (25700774544).

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

12415970304 is an equidigital number, since it uses as much as digits as its factorization.

12415970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12415970304 in words is "twelve billion, four hundred fifteen million, nine hundred seventy thousand, three hundred four".