122342121243221 has 12 divisors (see below), whose sum is σ = 135806662053132. Its totient is φ = 110118921000000.

The previous prime is 122342121243179. The next prime is 122342121243271.

It is a happy number.

122342121243221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 120934668820900 + 1407452422321 = 10997030^2 + 1186361^2 .

It is not a de Polignac number, because 122342121243221 - 2⁴² = 117944074732117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122342121243271) 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, 5005393280 + ... + 5005417721.

It is an arithmetic number, because the mean of its divisors is an integer number (11317221837761).

Almost surely, 2^{122342121243221} is an apocalyptic number.

122342121243221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122342121243221 is a deficient number, since it is larger than the sum of its proper divisors (13464540809911).

122342121243221 is a wasteful number, since it uses less digits than its factorization.

122342121243221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010811124 (or 10010811113 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 122342121243221 in words is "one hundred twenty-two trillion, three hundred forty-two billion, one hundred twenty-one million, two hundred forty-three thousand, two hundred twenty-one".