122400552434129 has 2 divisors, whose sum is σ = 122400552434130. Its totient is φ = 122400552434128.

The previous prime is 122400552434123. The next prime is 122400552434189. The reversal of 122400552434129 is 921434255004221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104622928246225 + 17777624187904 = 10228535^2 + 4216352^2 .

It is a cyclic number.

It is not a de Polignac number, because 122400552434129 - 2⁴⁰ = 121301040806353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122400552434129.

It is not a weakly prime, because it can be changed into another prime (122400552434123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200276217064 + 61200276217065.

It is an arithmetic number, because the mean of its divisors is an integer number (61200276217065).

Almost surely, 2^{122400552434129} is an apocalyptic number.

It is an amenable number.

122400552434129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400552434129 is an equidigital number, since it uses as much as digits as its factorization.

122400552434129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 122400552434129 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, four hundred thirty-four thousand, one hundred twenty-nine".