122120310321 has 6 divisors (see below), whose sum is σ = 176396003810. Its totient is φ = 81413540208.

The previous prime is 122120310293. The next prime is 122120310329. The reversal of 122120310321 is 123013021221.

122120310321 is a `hidden beast` number, since 1 + 22 + 12 + 0 + 310 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95876310321 + 26244000000 = 309639^2 + 162000^2 .

It is not a de Polignac number, because 122120310321 - 2¹⁵ = 122120277553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120310294 and 122120310303.

It is not an unprimeable number, because it can be changed into a prime (122120310329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6784461676 + ... + 6784461693.

Almost surely, 2^122120310321 is an apocalyptic number.

It is an amenable number.

122120310321 is a deficient number, since it is larger than the sum of its proper divisors (54275693489).

122120310321 is a wasteful number, since it uses less digits than its factorization.

122120310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13568923375 (or 13568923372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122120310321 its reverse (123013021221), we get a palindrome (245133331542).

The spelling of 122120310321 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred ten thousand, three hundred twenty-one".