12401333604 has 240 divisors, whose sum is σ = 37673475840. Its totient is φ = 3515581440.

The previous prime is 12401333599. The next prime is 12401333617. The reversal of 12401333604 is 40633310421.

12401333604 is a `hidden beast` number, since 1 + 2 + 40 + 13 + 3 + 3 + 604 = 666.

12401333604 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 (27).

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 79 ways as a sum of consecutive naturals, for example, 11935317 + ... + 11936355.

It is an arithmetic number, because the mean of its divisors is an integer number (156972816).

Almost surely, 2^12401333604 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 12401333604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18836737920).

12401333604 is an abundant number, since it is smaller than the sum of its proper divisors (25272142236).

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

12401333604 is a wasteful number, since it uses less digits than its factorization.

12401333604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 12401333604 in words is "twelve billion, four hundred one million, three hundred thirty-three thousand, six hundred four".