122001211211121 has 48 divisors (see below), whose sum is σ = 197446968932928. Its totient is φ = 71939252649600.

The previous prime is 122001211211081. The next prime is 122001211211149. The reversal of 122001211211121 is 121112112100221.

It is a happy number.

122001211211121 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 211 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 122001211211121 - 2⁹ = 122001211210609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122001211211094 and 122001211211103.

It is not an unprimeable number, because it can be changed into a prime (122001211291121) 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 47 ways as a sum of consecutive naturals, for example, 107902695 + ... + 109027491.

It is an arithmetic number, because the mean of its divisors is an integer number (4113478519436).

Almost surely, 2^{122001211211121} is an apocalyptic number.

122001211211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001211211121 is a deficient number, since it is larger than the sum of its proper divisors (75445757721807).

122001211211121 is a wasteful number, since it uses less digits than its factorization.

122001211211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154462 (or 1154459 counting only the distinct ones).

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

Adding to 122001211211121 its reverse (121112112100221), we get a palindrome (243113323311342).

The spelling of 122001211211121 in words is "one hundred twenty-two trillion, one billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".