122310222013221 has 72 divisors (see below), whose sum is σ = 194297595139872. Its totient is φ = 68327963035200.

The previous prime is 122310222013127. The next prime is 122310222013237.

122310222013221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122310222013221 - 2¹³ = 122310222005029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122310222013191 and 122310222013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122310222013241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7764375 + ... + 17461556.

It is an arithmetic number, because the mean of its divisors is an integer number (2698577710276).

Almost surely, 2^{122310222013221} is an apocalyptic number.

122310222013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122310222013221 is a deficient number, since it is larger than the sum of its proper divisors (71987373126651).

122310222013221 is a wasteful number, since it uses less digits than its factorization.

122310222013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25226031 (or 25226001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 122310222013221 in words is "one hundred twenty-two trillion, three hundred ten billion, two hundred twenty-two million, thirteen thousand, two hundred twenty-one".