12417413107225 has 135 divisors (see below), whose sum is σ = 18983033770077. Its totient is φ = 8055994242240.

The previous prime is 12417413107181. The next prime is 12417413107273. The reversal of 12417413107225 is 52270131471421.

The square root of 12417413107225 is 3523835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6560514009 + 12410852593216 = 80997^2 + 3522904^2 .

It is not a de Polignac number, because 12417413107225 - 2⁷ = 12417413107097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16403451547 + ... + 16403452303.

Almost surely, 2^{12417413107225} is an apocalyptic number.

12417413107225 is the 3523835-th square number.

12417413107225 is the 1761918-th centered octagonal number.

It is an amenable number.

12417413107225 is a deficient number, since it is larger than the sum of its proper divisors (6565620662852).

12417413107225 is an frugal number, since it uses more digits than its factorization.

12417413107225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

Adding to 12417413107225 its reverse (52270131471421), we get a palindrome (64687544578646).

The spelling of 12417413107225 in words is "twelve trillion, four hundred seventeen billion, four hundred thirteen million, one hundred seven thousand, two hundred twenty-five".