12178672704 has 420 divisors, whose sum is σ = 41892900720. Its totient is φ = 3468718080.

The previous prime is 12178672703. The next prime is 12178672771. The reversal of 12178672704 is 40727687121.

12178672704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12178672704.

It is not an unprimeable number, because it can be changed into a prime (12178672703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16479567 + ... + 16480305.

Almost surely, 2^12178672704 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 12178672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20946450360).

12178672704 is an abundant number, since it is smaller than the sum of its proper divisors (29714228016).

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

12178672704 is a wasteful number, since it uses less digits than its factorization.

12178672704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12178672704 in words is "twelve billion, one hundred seventy-eight million, six hundred seventy-two thousand, seven hundred four".