122824321 has 2 divisors, whose sum is σ = 122824322. Its totient is φ = 122824320.

The previous prime is 122824283. The next prime is 122824327. The reversal of 122824321 is 123428221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111534721 + 11289600 = 10561^2 + 3360^2 .

It is a cyclic number.

It is not a de Polignac number, because 122824321 - 2¹⁹ = 122300033 is a prime.

It is a super-2 number, since 2×122824321² = 30171627658222082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122824327) 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 as a sum of consecutive naturals, namely, 61412160 + 61412161.

It is an arithmetic number, because the mean of its divisors is an integer number (61412161).

Almost surely, 2^122824321 is an apocalyptic number.

It is an amenable number.

122824321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122824321 is an equidigital number, since it uses as much as digits as its factorization.

122824321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 25.

The square root of 122824321 is about 11082.6134553182. The cubic root of 122824321 is about 497.0820995046.

The spelling of 122824321 in words is "one hundred twenty-two million, eight hundred twenty-four thousand, three hundred twenty-one".