12225282624 has 189 divisors, whose sum is σ = 37361950041. Its totient is φ = 3821230080.

The previous prime is 12225282583. The next prime is 12225282647. The reversal of 12225282624 is 42628252221.

The square root of 12225282624 is 110568.

It is a perfect power (a square), and thus also a powerful number.

12225282624 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 5 + 28 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9517953600 + 2707329024 = 97560^2 + 52032^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 45111609 + ... + 45111879.

Almost surely, 2^12225282624 is an apocalyptic number.

12225282624 is the 110568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225282624

12225282624 is an abundant number, since it is smaller than the sum of its proper divisors (25136667417).

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

12225282624 is an equidigital number, since it uses as much as digits as its factorization.

12225282624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 293 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Multiplying 12225282624 by its sum of digits (36), we get a square (440110174464 = 663408²).

12225282624 divided by its sum of digits (36) gives a square (339591184 = 18428²).

It can be divided in two parts, 12225 and 282624, that added together give a square (294849 = 543²).

The spelling of 12225282624 in words is "twelve billion, two hundred twenty-five million, two hundred eighty-two thousand, six hundred twenty-four".