32120013122129 has 2 divisors, whose sum is σ = 32120013122130. Its totient is φ = 32120013122128.

The previous prime is 32120013122101. The next prime is 32120013122137. The reversal of 32120013122129 is 92122131002123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32110899555904 + 9113566225 = 5666648^2 + 95465^2 .

It is a cyclic number.

It is not a de Polignac number, because 32120013122129 - 2¹² = 32120013118033 is a prime.

It is not a weakly prime, because it can be changed into another prime (32120013122429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16060006561064 + 16060006561065.

It is an arithmetic number, because the mean of its divisors is an integer number (16060006561065).

Almost surely, 2^{32120013122129} is an apocalyptic number.

It is an amenable number.

32120013122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

32120013122129 is an equidigital number, since it uses as much as digits as its factorization.

32120013122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 32120013122129 in words is "thirty-two trillion, one hundred twenty billion, thirteen million, one hundred twenty-two thousand, one hundred twenty-nine".