12084868224 has 864 divisors, whose sum is σ = 45182919600. Its totient is φ = 3202467840.

The previous prime is 12084868223. The next prime is 12084868253. The reversal of 12084868224 is 42286848021.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 12084868224.

It is not an unprimeable number, because it can be changed into a prime (12084868223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 636045687 + ... + 636045705.

Almost surely, 2^12084868224 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 12084868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591459800).

12084868224 is an abundant number, since it is smaller than the sum of its proper divisors (33098051376).

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

12084868224 is a wasteful number, since it uses less digits than its factorization.

12084868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12084868224 in words is "twelve billion, eighty-four million, eight hundred sixty-eight thousand, two hundred twenty-four".