12113678304 has 1152 divisors, whose sum is σ = 49929384960. Its totient is φ = 2794881024.

The previous prime is 12113678299. The next prime is 12113678383. The reversal of 12113678304 is 40387631121.

It is a happy number.

12113678304 is a `hidden beast` number, since 1 + 211 + 367 + 83 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228559942 + ... + 228559994.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 2^12113678304 is an apocalyptic number.

12113678304 is a gapful number since it is divisible by the number (14) 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 12113678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964692480).

12113678304 is an abundant number, since it is smaller than the sum of its proper divisors (37815706656).

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

12113678304 is a wasteful number, since it uses less digits than its factorization.

12113678304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12113678304 in words is "twelve billion, one hundred thirteen million, six hundred seventy-eight thousand, three hundred four".