12112013222129 has 2 divisors, whose sum is σ = 12112013222130. Its totient is φ = 12112013222128.

The previous prime is 12112013222009. The next prime is 12112013222161. The reversal of 12112013222129 is 92122231021121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10315145358400 + 1796867863729 = 3211720^2 + 1340473^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112013222129 - 2⁸ = 12112013221873 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112013222189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056006611064 + 6056006611065.

It is an arithmetic number, because the mean of its divisors is an integer number (6056006611065).

Almost surely, 2^{12112013222129} is an apocalyptic number.

It is an amenable number.

12112013222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112013222129 is an equidigital number, since it uses as much as digits as its factorization.

12112013222129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 12112013222129 in words is "twelve trillion, one hundred twelve billion, thirteen million, two hundred twenty-two thousand, one hundred twenty-nine".