12133979424 has 576 divisors, whose sum is σ = 43589145600. Its totient is φ = 3124832256.

The previous prime is 12133979413. The next prime is 12133979509. The reversal of 12133979424 is 42497933121.

12133979424 is a `hidden beast` number, since 1 + 2 + 133 + 97 + 9 + 424 = 666.

12133979424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12133979424.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 87294747 + ... + 87294885.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 2^12133979424 is an apocalyptic number.

12133979424 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 12133979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

12133979424 is an abundant number, since it is smaller than the sum of its proper divisors (31455166176).

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

12133979424 is a wasteful number, since it uses less digits than its factorization.

12133979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 12133979424 in words is "twelve billion, one hundred thirty-three million, nine hundred seventy-nine thousand, four hundred twenty-four".