12303029764224 has 384 divisors, whose sum is σ = 36854025062400. Its totient is φ = 3936327155712.

The previous prime is 12303029764177. The next prime is 12303029764241. The reversal of 12303029764224 is 42246792030321.

12303029764224 is a `hidden beast` number, since 1 + 2 + 30 + 302 + 97 + 6 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12303029764224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968965044 + ... + 968977740.

It is an arithmetic number, because the mean of its divisors is an integer number (95974023600).

Almost surely, 2^{12303029764224} 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 12303029764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427012531200).

12303029764224 is an abundant number, since it is smaller than the sum of its proper divisors (24550995298176).

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

12303029764224 is a wasteful number, since it uses less digits than its factorization.

12303029764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13060 (or 13045 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 12303029764224 in words is "twelve trillion, three hundred three billion, twenty-nine million, seven hundred sixty-four thousand, two hundred twenty-four".