122221120011121 has 16 divisors (see below), whose sum is σ = 130292791315200. Its totient is φ = 114247632198400.

The previous prime is 122221120011113. The next prime is 122221120011149. The reversal of 122221120011121 is 121110021122221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122221120011121 - 2³ = 122221120011113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122221120011161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21666690 + ... + 26718676.

It is an arithmetic number, because the mean of its divisors is an integer number (8143299457200).

Almost surely, 2^{122221120011121} is an apocalyptic number.

It is an amenable number.

122221120011121 is a deficient number, since it is larger than the sum of its proper divisors (8071671304079).

122221120011121 is a wasteful number, since it uses less digits than its factorization.

122221120011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061704.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122221120011121 its reverse (121110021122221), we get a palindrome (243331141133342).

The spelling of 122221120011121 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, eleven thousand, one hundred twenty-one".