122331242133221 has 12 divisors (see below), whose sum is σ = 139099930500300. Its totient is φ = 107375384941440.

The previous prime is 122331242133209. The next prime is 122331242133239.

122331242133221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 78781405540321 + 43549836592900 = 8875889^2 + 6599230^2 .

It is not a de Polignac number, because 122331242133221 - 2⁶ = 122331242133157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331242133271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17431065476 + ... + 17431072493.

It is an arithmetic number, because the mean of its divisors is an integer number (11591660875025).

Almost surely, 2^{122331242133221} is an apocalyptic number.

122331242133221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122331242133221 is a deficient number, since it is larger than the sum of its proper divisors (16768688367079).

122331242133221 is a wasteful number, since it uses less digits than its factorization.

122331242133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34862138020 (or 34862138009 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 122331242133221 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, two hundred twenty-one".