122323221 has 24 divisors (see below), whose sum is σ = 183311544. Its totient is φ = 78537600.

The previous prime is 122323183. The next prime is 122323259.

122323221 is a `hidden beast` number, since 122 + 323 + 221 = 666.

122323221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (122323183) and next prime (122323259).

It can be written as a sum of positive squares in 4 ways, for example, as 39312900 + 83010321 = 6270^2 + 9111^2 .

It is not a de Polignac number, because 122323221 - 2¹⁰ = 122322197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122323194 and 122323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122333221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31815 + ... + 35451.

It is an arithmetic number, because the mean of its divisors is an integer number (7637981).

Almost surely, 2^122323221 is an apocalyptic number.

It is an amenable number.

122323221 is a deficient number, since it is larger than the sum of its proper divisors (60988323).

122323221 is a wasteful number, since it uses less digits than its factorization.

122323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3778 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122323221 is about 11059.9828661712. The cubic root of 122323221 is about 496.4051777797.

The spelling of 122323221 in words is "one hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty-one".