122112221112121 has 8 divisors (see below), whose sum is σ = 122848578720000. Its totient is φ = 121375924774848.

The previous prime is 122112221112083. The next prime is 122112221112127. The reversal of 122112221112121 is 121211122211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112221112121 - 2⁹ = 122112221111609 is a prime.

It is a super-2 number, since 2×122112221112121² (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 = 122112221112092 and 122112221112101.

It is not an unprimeable number, because it can be changed into a prime (122112221112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11316496 + ... + 19294753.

It is an arithmetic number, because the mean of its divisors is an integer number (15356072340000).

Almost surely, 2^{122112221112121} is an apocalyptic number.

It is an amenable number.

122112221112121 is a deficient number, since it is larger than the sum of its proper divisors (736357607879).

122112221112121 is a wasteful number, since it uses less digits than its factorization.

122112221112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30635303.

The product of its digits is 128, while the sum is 22.

Adding to 122112221112121 its reverse (121211122211221), we get a palindrome (243323343323342).

The spelling of 122112221112121 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".