12907328026329 has 27 divisors (see below), whose sum is σ = 20493090125599. Its totient is φ = 7822551192720.

The previous prime is 12907328026289. The next prime is 12907328026409. The reversal of 12907328026329 is 92362082370921.

The square root of 12907328026329 is 3592677.

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

12907328026329 is a `hidden beast` number, since 1 + 290 + 7 + 3 + 2 + 8 + 0 + 26 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7562076505929 + 5345251520400 = 2749923^2 + 2311980^2 .

It is not a de Polignac number, because 12907328026329 - 2²¹ = 12907325929177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12907328046329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118503907 + ... + 118612775.

Almost surely, 2^{12907328026329} is an apocalyptic number.

12907328026329 is the 3592677-th square number.

12907328026329 is the 1796339-th centered octagonal number.

It is an amenable number.

12907328026329 is a deficient number, since it is larger than the sum of its proper divisors (7585762099270).

12907328026329 is an frugal number, since it uses more digits than its factorization.

12907328026329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217766 (or 108883 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12907328026329 in words is "twelve trillion, nine hundred seven billion, three hundred twenty-eight million, twenty-six thousand, three hundred twenty-nine".