12209608350625 has 135 divisors (see below), whose sum is σ = 18228955200687. Its totient is φ = 8151328080000.

The previous prime is 12209608350601. The next prime is 12209608350647. The reversal of 12209608350625 is 52605380690221.

The square root of 12209608350625 is 3494225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12162007583649 + 47600766976 = 3487407^2 + 218176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12209608350625 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25071064132 + ... + 25071064618.

Almost surely, 2^{12209608350625} is an apocalyptic number.

12209608350625 is the 3494225-th square number.

12209608350625 is the 1747113-rd centered octagonal number.

It is an amenable number.

12209608350625 is a deficient number, since it is larger than the sum of its proper divisors (6019346850062).

12209608350625 is an frugal number, since it uses more digits than its factorization.

12209608350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 12209608350625 by its sum of digits (49), we get a square (598270809180625 = 24459575²).

12209608350625 divided by its sum of digits (49) gives a square (249175680625 = 499175²).

The spelling of 12209608350625 in words is "twelve trillion, two hundred nine billion, six hundred eight million, three hundred fifty thousand, six hundred twenty-five".