122054450221 has 24 divisors (see below), whose sum is σ = 139257893376. Its totient is φ = 106083426240.

The previous prime is 122054450209. The next prime is 122054450249.

It is a happy number.

122054450221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122054450221 - 2⁷ = 122054450093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122054450221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122054420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17179956 + ... + 17187058.

It is an arithmetic number, because the mean of its divisors is an integer number (5802412224).

Almost surely, 2^122054450221 is an apocalyptic number.

122054450221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122054450221 is a deficient number, since it is larger than the sum of its proper divisors (17203443155).

122054450221 is a wasteful number, since it uses less digits than its factorization.

122054450221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 122054 and 450221, that added together give a palindrome (572275).

The spelling of 122054450221 in words is "one hundred twenty-two billion, fifty-four million, four hundred fifty thousand, two hundred twenty-one".