122242221 has 24 divisors (see below), whose sum is σ = 186128280. Its totient is φ = 77191296.

The previous prime is 122242193. The next prime is 122242259.

122242221 is a `hidden beast` number, since 1 + 222 + 422 + 21 = 666.

122242221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 75168900 + 47073321 = 8670^2 + 6861^2 .

It is not a de Polignac number, because 122242221 - 2⁷ = 122242093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122242194 and 122242203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9415 + ... + 18251.

It is an arithmetic number, because the mean of its divisors is an integer number (7755345).

Almost surely, 2^122242221 is an apocalyptic number.

It is an amenable number.

122242221 is a deficient number, since it is larger than the sum of its proper divisors (63886059).

122242221 is a wasteful number, since it uses less digits than its factorization.

122242221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8922 counting only the distinct ones).

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

The square root of 122242221 is about 11056.3204096119. The cubic root of 122242221 is about 496.2955837127.

The spelling of 122242221 in words is "one hundred twenty-two million, two hundred forty-two thousand, two hundred twenty-one".