12083925934080 has 3024 divisors, whose sum is σ = 57228002526240. Its totient is φ = 2307674603520.

The previous prime is 12083925934051. The next prime is 12083925934103. The reversal of 12083925934080 is 8043952938021.

12083925934080 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 9 + 2 + 593 + 40 + 8 + 0 = 666.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 52768235406 + ... + 52768235634.

It is an arithmetic number, because the mean of its divisors is an integer number (18924604010).

Almost surely, 2^{12083925934080} is an apocalyptic number.

12083925934080 is a gapful number since it is divisible by the number (10) 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 12083925934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28614001263120).

12083925934080 is an abundant number, since it is smaller than the sum of its proper divisors (45144076592160).

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

12083925934080 is a wasteful number, since it uses less digits than its factorization.

12083925934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12083925934080 in words is "twelve trillion, eighty-three billion, nine hundred twenty-five million, nine hundred thirty-four thousand, eighty".