12705837329 has 2 divisors, whose sum is σ = 12705837330. Its totient is φ = 12705837328.

The previous prime is 12705837299. The next prime is 12705837337. The reversal of 12705837329 is 92373850721.

12705837329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9015882304 + 3689955025 = 94952^2 + 60745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12705837329 is a prime.

It is a super-2 number, since 2×12705837329² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12705837359) 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, 6352918664 + 6352918665.

It is an arithmetic number, because the mean of its divisors is an integer number (6352918665).

Almost surely, 2^12705837329 is an apocalyptic number.

It is an amenable number.

12705837329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12705837329 is an equidigital number, since it uses as much as digits as its factorization.

12705837329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 12705837329 in words is "twelve billion, seven hundred five million, eight hundred thirty-seven thousand, three hundred twenty-nine".