122653129 has 2 divisors, whose sum is σ = 122653130. Its totient is φ = 122653128.

The previous prime is 122653123. The next prime is 122653169. The reversal of 122653129 is 921356221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 34199104 = 9405^2 + 5848^2 .

It is an emirp because it is prime and its reverse (921356221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122653129 - 2⁹ = 122652617 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122653129.

It is not a weakly prime, because it can be changed into another prime (122653123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61326564 + 61326565.

It is an arithmetic number, because the mean of its divisors is an integer number (61326565).

Almost surely, 2^122653129 is an apocalyptic number.

It is an amenable number.

122653129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122653129 is an equidigital number, since it uses as much as digits as its factorization.

122653129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 122653129 is about 11074.8873131965. The cubic root of 122653129 is about 496.8510485086.

The spelling of 122653129 in words is "one hundred twenty-two million, six hundred fifty-three thousand, one hundred twenty-nine".