12147346225 has 81 divisors (see below), whose sum is σ = 18173858283. Its totient is φ = 8030705760.

The previous prime is 12147346213. The next prime is 12147346229. The reversal of 12147346225 is 52264374121.

12147346225 = 1³ + 2³ + ... + 469³.

The square root of 12147346225 is 110215.

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

It can be written as a sum of positive squares in only one way, i.e., 4373044641 + 7774301584 = 66129^2 + 88172^2 .

It is not a de Polignac number, because 12147346225 - 2⁹ = 12147345713 is a prime.

Its product of digits (80640) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (12147346229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 181303642 + ... + 181303708.

Almost surely, 2^12147346225 is an apocalyptic number.

12147346225 is the 110215-th square number.

12147346225 is the 55108-th centered octagonal number.

It is an amenable number.

12147346225 is a deficient number, since it is larger than the sum of its proper divisors (6026512058).

12147346225 is an frugal number, since it uses more digits than its factorization.

12147346225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 12147346225 in words is "twelve billion, one hundred forty-seven million, three hundred forty-six thousand, two hundred twenty-five".