122400552202013 has 2 divisors, whose sum is σ = 122400552202014. Its totient is φ = 122400552202012.

The previous prime is 122400552201953. The next prime is 122400552202057. The reversal of 122400552202013 is 310202255004221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118730944555129 + 3669607646884 = 10896373^2 + 1915622^2 .

It is an emirp because it is prime and its reverse (310202255004221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122400552202013 - 2¹⁴ = 122400552185629 is a prime.

It is a super-2 number, since 2×122400552202013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122400552207013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200276101006 + 61200276101007.

It is an arithmetic number, because the mean of its divisors is an integer number (61200276101007).

Almost surely, 2^{122400552202013} is an apocalyptic number.

It is an amenable number.

122400552202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122400552202013 is an equidigital number, since it uses as much as digits as its factorization.

122400552202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 122400552202013 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, two hundred two thousand, thirteen".