122400552202057 has 2 divisors, whose sum is σ = 122400552202058. Its totient is φ = 122400552202056.

The previous prime is 122400552202013. The next prime is 122400552202127. The reversal of 122400552202057 is 750202255004221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121906573759161 + 493978442896 = 11041131^2 + 702836^2 .

It is a cyclic number.

It is not a de Polignac number, because 122400552202057 - 2¹⁵ = 122400552169289 is a prime.

It is a super-3 number, since 3×122400552202057³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122400552202457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200276101028 + 61200276101029.

It is an arithmetic number, because the mean of its divisors is an integer number (61200276101029).

Almost surely, 2^{122400552202057} is an apocalyptic number.

It is an amenable number.

122400552202057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400552202057 is an equidigital number, since it uses as much as digits as its factorization.

122400552202057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112000, while the sum is 37.

The spelling of 122400552202057 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, two hundred two thousand, fifty-seven".