12224619225 has 297 divisors, whose sum is σ = 28641053853. Its totient is φ = 5158520640.

The previous prime is 12224619203. The next prime is 12224619257. The reversal of 12224619225 is 52291642221.

The square root of 12224619225 is 110565.

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

12224619225 is a `hidden beast` number, since 12 + 2 + 2 + 4 + 619 + 2 + 25 = 666.

12224619225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3150913689 + 9073705536 = 56133^2 + 95256^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12224619225 is a prime.

Its product of digits (34560) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12224619225.

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 296 ways as a sum of consecutive naturals, for example, 940355319 + ... + 940355331.

Almost surely, 2^12224619225 is an apocalyptic number.

12224619225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12224619225 is the 110565-th square number.

12224619225 is the 55283-rd centered octagonal number.

It is an amenable number.

12224619225 is an abundant number, since it is smaller than the sum of its proper divisors (16416434628).

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

12224619225 is an frugal number, since it uses more digits than its factorization.

12224619225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 12224619225 by its sum of digits (36), we get a square (440086292100 = 663390²).

The spelling of 12224619225 in words is "twelve billion, two hundred twenty-four million, six hundred nineteen thousand, two hundred twenty-five".