122321123122121 has 16 divisors (see below), whose sum is σ = 152651889886848. Its totient is φ = 95222890569600.

The previous prime is 122321123122049. The next prime is 122321123122151. The reversal of 122321123122121 is 121221321123221.

It is a cyclic number.

It is not a de Polignac number, because 122321123122121 - 2¹⁸ = 122321122859977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122321123122151) 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, 768839150 + ... + 768998231.

It is an arithmetic number, because the mean of its divisors is an integer number (9540743117928).

Almost surely, 2^{122321123122121} is an apocalyptic number.

122321123122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122321123122121 is a deficient number, since it is larger than the sum of its proper divisors (30330766764727).

122321123122121 is a wasteful number, since it uses less digits than its factorization.

122321123122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537838432.

The product of its digits is 1152, while the sum is 26.

Adding to 122321123122121 its reverse (121221321123221), we get a palindrome (243542444245342).

The spelling of 122321123122121 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty-one".