122122120133129 has 2 divisors, whose sum is σ = 122122120133130. Its totient is φ = 122122120133128.

The previous prime is 122122120133099. The next prime is 122122120133161. The reversal of 122122120133129 is 921331021221221.

It is an a-pointer prime, because the next prime (122122120133161) can be obtained adding 122122120133129 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79918647316729 + 42203472816400 = 8939723^2 + 6496420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122122120133129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122122120133095 and 122122120133104.

It is not a weakly prime, because it can be changed into another prime (122122120133029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061060066564 + 61061060066565.

It is an arithmetic number, because the mean of its divisors is an integer number (61061060066565).

Almost surely, 2^{122122120133129} is an apocalyptic number.

It is an amenable number.

122122120133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122120133129 is an equidigital number, since it uses as much as digits as its factorization.

122122120133129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 122122120133129 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred twenty-nine".