12133839384576 has 3328 divisors, whose sum is σ = 50728108032000. Its totient is φ = 2774815211520.

The previous prime is 12133839384571. The next prime is 12133839384577. The reversal of 12133839384576 is 67548393833121.

12133839384576 is a `hidden beast` number, since 1 + 2 + 13 + 3 + 83 + 93 + 8 + 457 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12133839384571) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136335273940 + ... + 136335274028.

Almost surely, 2^{12133839384576} is an apocalyptic number.

12133839384576 is a gapful number since it is divisible by the number (16) 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 12133839384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364054016000).

12133839384576 is an abundant number, since it is smaller than the sum of its proper divisors (38594268647424).

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

12133839384576 is a wasteful number, since it uses less digits than its factorization.

12133839384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 12133839384576 in words is "twelve trillion, one hundred thirty-three billion, eight hundred thirty-nine million, three hundred eighty-four thousand, five hundred seventy-six".