122404221 has 6 divisors (see below), whose sum is σ = 176806110. Its totient is φ = 81602808.

The previous prime is 122404193. The next prime is 122404241.

122404221 is a `hidden beast` number, since 1 + 2 + 240 + 422 + 1 = 666.

122404221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 100220121 + 22184100 = 10011^2 + 4710^2 .

It is not a de Polignac number, because 122404221 - 2¹⁵ = 122371453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122404194 and 122404203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122404241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6800226 + ... + 6800243.

It is an arithmetic number, because the mean of its divisors is an integer number (29467685).

Almost surely, 2^122404221 is an apocalyptic number.

It is an amenable number.

122404221 is a deficient number, since it is larger than the sum of its proper divisors (54401889).

122404221 is a wasteful number, since it uses less digits than its factorization.

122404221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13600475 (or 13600472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122404221 is about 11063.6441103282. The cubic root of 122404221 is about 496.5147234767.

It can be divided in two parts, 12240 and 4221, that added together give a palindrome (16461).

The spelling of 122404221 in words is "one hundred twenty-two million, four hundred four thousand, two hundred twenty-one".