12225605184 has 336 divisors, whose sum is σ = 39673580800. Its totient is φ = 3669359616.

The previous prime is 12225605179. The next prime is 12225605221. The reversal of 12225605184 is 48150652221.

12225605184 is a `hidden beast` number, since 1 + 22 + 25 + 605 + 1 + 8 + 4 = 666.

12225605184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 147296407 + ... + 147296489.

Almost surely, 2^12225605184 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 12225605184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19836790400).

12225605184 is an abundant number, since it is smaller than the sum of its proper divisors (27447975616).

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

12225605184 is an equidigital number, since it uses as much as digits as its factorization.

12225605184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12225605184 in words is "twelve billion, two hundred twenty-five million, six hundred five thousand, one hundred eighty-four".