122241222142221 has 512 divisors, whose sum is σ = 225517436928000. Its totient is φ = 58281431040000.

The previous prime is 122241222142177. The next prime is 122241222142271.

122241222142221 is nontrivially palindromic in base 10.

122241222142221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122241222142221 - 2¹³ = 122241222134029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122241222142271) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 255200881060 + ... + 255200881538.

It is an arithmetic number, because the mean of its divisors is an integer number (440463744000).

Almost surely, 2^{122241222142221} is an apocalyptic number.

It is an amenable number.

122241222142221 is a deficient number, since it is larger than the sum of its proper divisors (103276214785779).

122241222142221 is a wasteful number, since it uses less digits than its factorization.

122241222142221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 122241222142221 in words is "one hundred twenty-two trillion, two hundred forty-one billion, two hundred twenty-two million, one hundred forty-two thousand, two hundred twenty-one".