12193079304384 has 672 divisors, whose sum is σ = 40979457792000. Its totient is φ = 3560706293760.

The previous prime is 12193079304347. The next prime is 12193079304431. The reversal of 12193079304384 is 48340397039121.

12193079304384 is a `hidden beast` number, since 1 + 2 + 193 + 0 + 79 + 3 + 0 + 4 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12193079304384.

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, 3011378392 + ... + 3011382440.

It is an arithmetic number, because the mean of its divisors is an integer number (60981336000).

Almost surely, 2^{12193079304384} 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 12193079304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489728896000).

12193079304384 is an abundant number, since it is smaller than the sum of its proper divisors (28786378487616).

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

12193079304384 is a wasteful number, since it uses less digits than its factorization.

12193079304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12193079304384 in words is "twelve trillion, one hundred ninety-three billion, seventy-nine million, three hundred four thousand, three hundred eighty-four".