122012242210221 has 48 divisors (see below), whose sum is σ = 181355681816064. Its totient is φ = 72897149556000.

The previous prime is 122012242210193. The next prime is 122012242210333.

122012242210221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122012242210221 - 2³³ = 122003652275629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122012242210191 and 122012242210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012242212221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234041970 + ... + 234562716.

It is an arithmetic number, because the mean of its divisors is an integer number (3778243371168).

Almost surely, 2^{122012242210221} is an apocalyptic number.

122012242210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012242210221 is a deficient number, since it is larger than the sum of its proper divisors (59343439605843).

122012242210221 is a wasteful number, since it uses less digits than its factorization.

122012242210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529934 (or 529923 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 12201 and 2242210221, that added together give a palindrome (2242222422).

The spelling of 122012242210221 in words is "one hundred twenty-two trillion, twelve billion, two hundred forty-two million, two hundred ten thousand, two hundred twenty-one".