122313121 has 16 divisors (see below), whose sum is σ = 142512768. Its totient is φ = 102816000.

The previous prime is 122313071. The next prime is 122313131. The reversal of 122313121 is 121313221.

It is not a de Polignac number, because 122313121 - 2⁹ = 122312609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122313095 and 122313104.

It is not an unprimeable number, because it can be changed into a prime (122313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79126 + ... + 80656.

It is an arithmetic number, because the mean of its divisors is an integer number (8907048).

Almost surely, 2^122313121 is an apocalyptic number.

It is an amenable number.

122313121 is a deficient number, since it is larger than the sum of its proper divisors (20199647).

122313121 is a wasteful number, since it uses less digits than its factorization.

122313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its digits is 72, while the sum is 16.

The square root of 122313121 is about 11059.5262556766. The cubic root of 122313121 is about 496.3915149874.

Adding to 122313121 its reverse (121313221), we get a palindrome (243626342).

The spelling of 122313121 in words is "one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-one".