12009586285225 has 9 divisors (see below), whose sum is σ = 14891908479717. Its totient is φ = 9607655166240.

The previous prime is 12009586285223. The next prime is 12009586285247. The reversal of 12009586285225 is 52258268590021.

The square root of 12009586285225 is 3465485.

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 1728559674009 + 10281026611216 = 1314747^2 + 3206404^2 .

It is not a de Polignac number, because 12009586285225 - 2¹ = 12009586285223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12009586285223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16980877 + ... + 17673973.

Almost surely, 2^{12009586285225} is an apocalyptic number.

12009586285225 is the 3465485-th square number.

12009586285225 is the 1732743-rd centered octagonal number.

It is an amenable number.

12009586285225 is a deficient number, since it is larger than the sum of its proper divisors (2882322194492).

12009586285225 is an frugal number, since it uses more digits than its factorization.

12009586285225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386204 (or 693102 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 55.

The spelling of 12009586285225 in words is "twelve trillion, nine billion, five hundred eighty-six million, two hundred eighty-five thousand, two hundred twenty-five".