122000332333121 has 32 divisors (see below), whose sum is σ = 137982009185280. Its totient is φ = 106864949145600.

The previous prime is 122000332332947. The next prime is 122000332333141. The reversal of 122000332333121 is 121333233000221.

It is a cyclic number.

It is not a de Polignac number, because 122000332333121 - 2³⁰ = 121999258591297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122000332333141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944104081 + ... + 1944166833.

It is an arithmetic number, because the mean of its divisors is an integer number (4311937787040).

Almost surely, 2^{122000332333121} is an apocalyptic number.

122000332333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122000332333121 is a deficient number, since it is larger than the sum of its proper divisors (15981676852159).

122000332333121 is a wasteful number, since it uses less digits than its factorization.

122000332333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87497.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 122000332333121 its reverse (121333233000221), we get a palindrome (243333565333342).

The spelling of 122000332333121 in words is "one hundred twenty-two trillion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty-one".