12259626890625 has 63 divisors (see below), whose sum is σ = 22137525054021. Its totient is φ = 6537767400000.

The previous prime is 12259626890587. The next prime is 12259626890627. The reversal of 12259626890625 is 52609862695221.

The square root of 12259626890625 is 3501375.

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

12259626890625 is a `hidden beast` number, since 1 + 225 + 9 + 6 + 268 + 90 + 62 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12048736534641 + 210890355984 = 3471129^2 + 459228^2 .

It is not a de Polignac number, because 12259626890625 - 2⁹ = 12259626890113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12259626890627) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1313010957 + ... + 1313020293.

Almost surely, 2^{12259626890625} is an apocalyptic number.

12259626890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12259626890625 is the 3501375-th square number.

12259626890625 is the 1750688-th centered octagonal number.

It is an amenable number.

12259626890625 is a deficient number, since it is larger than the sum of its proper divisors (9877898163396).

12259626890625 is an frugal number, since it uses more digits than its factorization.

12259626890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 12259626890625 in words is "twelve trillion, two hundred fifty-nine billion, six hundred twenty-six million, eight hundred ninety thousand, six hundred twenty-five".