122211200000313 has 12 divisors (see below), whose sum is σ = 180283188653568. Its totient is φ = 79740641134680.

The previous prime is 122211200000213. The next prime is 122211200000321. The reversal of 122211200000313 is 313000002112221.

122211200000313 is a `hidden beast` number, since 12 + 221 + 120 + 0 + 0 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 122211200000313 - 2¹³ = 122211199992121 is a prime.

It is a super-2 number, since 2×122211200000313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122211200000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144457682793 + ... + 144457683638.

It is an arithmetic number, because the mean of its divisors is an integer number (15023599054464).

Almost surely, 2^{122211200000313} is an apocalyptic number.

It is an amenable number.

122211200000313 is a deficient number, since it is larger than the sum of its proper divisors (58071988653255).

122211200000313 is a wasteful number, since it uses less digits than its factorization.

122211200000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288915366484 (or 288915366481 counting only the distinct ones).

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

Adding to 122211200000313 its reverse (313000002112221), we get a palindrome (435211202112534).

The spelling of 122211200000313 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred million, three hundred thirteen", and thus it is an aban number.