122112122121 has 24 divisors (see below), whose sum is σ = 194737417056. Its totient is φ = 73115687040.

The previous prime is 122112122117. The next prime is 122112122269. The reversal of 122112122121 is 121221211221.

It is not a de Polignac number, because 122112122121 - 2² = 122112122117 is a prime.

It is a super-2 number, since 2×122112122121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112122094 and 122112122103.

It is not an unprimeable number, because it can be changed into a prime (122112122521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7422240 + ... + 7438673.

It is an arithmetic number, because the mean of its divisors is an integer number (8114059044).

Almost surely, 2^122112122121 is an apocalyptic number.

122112122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112122121 is a deficient number, since it is larger than the sum of its proper divisors (72625294935).

122112122121 is a wasteful number, since it uses less digits than its factorization.

122112122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14861013 (or 14861010 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 122112122121 its reverse (121221211221), we get a palindrome (243333333342).

The spelling of 122112122121 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".