12729217217 has 2 divisors, whose sum is σ = 12729217218. Its totient is φ = 12729217216.

The previous prime is 12729217213. The next prime is 12729217231. The reversal of 12729217217 is 71271292721.

12729217217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10709973121 + 2019244096 = 103489^2 + 44936^2 .

It is a cyclic number.

It is not a de Polignac number, because 12729217217 - 2² = 12729217213 is a prime.

It is not a weakly prime, because it can be changed into another prime (12729217213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6364608608 + 6364608609.

It is an arithmetic number, because the mean of its divisors is an integer number (6364608609).

Almost surely, 2^12729217217 is an apocalyptic number.

It is an amenable number.

12729217217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12729217217 is an equidigital number, since it uses as much as digits as its factorization.

12729217217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 41.

The spelling of 12729217217 in words is "twelve billion, seven hundred twenty-nine million, two hundred seventeen thousand, two hundred seventeen".