122200300012113 has 12 divisors (see below), whose sum is σ = 186894576489348. Its totient is φ = 76674698046720.

The previous prime is 122200300012081. The next prime is 122200300012157. The reversal of 122200300012113 is 311210003002221.

122200300012113 is a `hidden beast` number, since 12 + 220 + 0 + 300 + 0 + 121 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32951996986689 + 89248303025424 = 5740383^2 + 9447132^2 .

It is not a de Polignac number, because 122200300012113 - 2⁵ = 122200300012081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122200300092113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399347385508 + ... + 399347385813.

It is an arithmetic number, because the mean of its divisors is an integer number (15574548040779).

Almost surely, 2^{122200300012113} is an apocalyptic number.

It is an amenable number.

122200300012113 is a deficient number, since it is larger than the sum of its proper divisors (64694276477235).

122200300012113 is a wasteful number, since it uses less digits than its factorization.

122200300012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798694771344 (or 798694771341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122200300012113 its reverse (311210003002221), we get a palindrome (433410303014334).

The spelling of 122200300012113 in words is "one hundred twenty-two trillion, two hundred billion, three hundred million, twelve thousand, one hundred thirteen".