12133913539104 has 384 divisors, whose sum is σ = 40594720320000. Its totient is φ = 3454141501440.

The previous prime is 12133913539103. The next prime is 12133913539127. The reversal of 12133913539104 is 40193531933121.

12133913539104 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 9 + 1 + 3 + 539 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12133913539104.

It is not an unprimeable number, because it can be changed into a prime (12133913539103) 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 63 ways as a sum of consecutive naturals, for example, 2110610022 + ... + 2110615770.

It is an arithmetic number, because the mean of its divisors is an integer number (105715417500).

Almost surely, 2^{12133913539104} is an apocalyptic number.

12133913539104 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 12133913539104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297360160000).

12133913539104 is an abundant number, since it is smaller than the sum of its proper divisors (28460806780896).

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

12133913539104 is a wasteful number, since it uses less digits than its factorization.

12133913539104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 12133913539104 in words is "twelve trillion, one hundred thirty-three billion, nine hundred thirteen million, five hundred thirty-nine thousand, one hundred four".