12909311260209 has 405 divisors, whose sum is σ = 25132848101361. Its totient is φ = 6581140151040.

The previous prime is 12909311260129. The next prime is 12909311260243. The reversal of 12909311260209 is 90206211390921.

The square root of 12909311260209 is 3592953.

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

12909311260209 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 9 + 31 + 1 + 2 + 602 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8598588552225 + 4310722707984 = 2932335^2 + 2076228^2 .

It is not a de Polignac number, because 12909311260209 - 2¹³ = 12909311252017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12909311260009) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 120647768734 + ... + 120647768840.

Almost surely, 2^{12909311260209} is an apocalyptic number.

12909311260209 is the 3592953-rd square number.

12909311260209 is the 1796477-th centered octagonal number.

It is an amenable number.

12909311260209 is a deficient number, since it is larger than the sum of its proper divisors (12223536841152).

12909311260209 is an equidigital number, since it uses as much as digits as its factorization.

12909311260209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 12909311260209 in words is "twelve trillion, nine hundred nine billion, three hundred eleven million, two hundred sixty thousand, two hundred nine".