122120120314221 has 16 divisors (see below), whose sum is σ = 164655056950848. Its totient is φ = 80501417072000.

The previous prime is 122120120314183. The next prime is 122120120314259. The reversal of 122120120314221 is 122413021021221.

It is an interprime number because it is at equal distance from previous prime (122120120314183) and next prime (122120120314259).

It is a cyclic number.

It is not a de Polignac number, because 122120120314221 - 2¹¹ = 122120120312173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120120314191 and 122120120314200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120120314321) 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 15 ways as a sum of consecutive naturals, for example, 264576711 + ... + 265037876.

It is an arithmetic number, because the mean of its divisors is an integer number (10290941059428).

Almost surely, 2^{122120120314221} is an apocalyptic number.

It is an amenable number.

122120120314221 is a deficient number, since it is larger than the sum of its proper divisors (42534936636627).

122120120314221 is a wasteful number, since it uses less digits than its factorization.

122120120314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529615452.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 122120120314221 its reverse (122413021021221), we get a palindrome (244533141335442).

The spelling of 122120120314221 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, three hundred fourteen thousand, two hundred twenty-one".