122112120011121 has 8 divisors (see below), whose sum is σ = 180906844460960. Its totient is φ = 81408080007396.

The previous prime is 122112120011093. The next prime is 122112120011149. The reversal of 122112120011121 is 121110021211221.

It is a happy number.

122112120011121 is a `hidden beast` number, since 1 + 221 + 121 + 200 + 1 + 1 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (122112120011093) and next prime (122112120011149).

It is a de Polignac number, because none of the positive numbers 2^k-122112120011121 is a prime.

It is a super-2 number, since 2×122112120011121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112120011094 and 122112120011103.

It is not an unprimeable number, because it can be changed into a prime (122112120015121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261335555735 + ... + 2261335555788.

It is an arithmetic number, because the mean of its divisors is an integer number (22613355557620).

Almost surely, 2^{122112120011121} is an apocalyptic number.

It is an amenable number.

122112120011121 is a deficient number, since it is larger than the sum of its proper divisors (58794724449839).

122112120011121 is an equidigital number, since it uses as much as digits as its factorization.

122112120011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522671111532 (or 4522671111526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112120011121 its reverse (121110021211221), we get a palindrome (243222141222342).

The spelling of 122112120011121 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twenty-one".