122312033 has 2 divisors, whose sum is σ = 122312034. Its totient is φ = 122312032.

The previous prime is 122312023. The next prime is 122312039. The reversal of 122312033 is 330213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85248289 + 37063744 = 9233^2 + 6088^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312033 - 2¹⁶ = 122246497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122312039) 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 as a sum of consecutive naturals, namely, 61156016 + 61156017.

It is an arithmetic number, because the mean of its divisors is an integer number (61156017).

Almost surely, 2^122312033 is an apocalyptic number.

It is an amenable number.

122312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312033 is an equidigital number, since it uses as much as digits as its factorization.

122312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 122312033 is about 11059.4770672035. The cubic root of 122312033 is about 496.3900431487.

Adding to 122312033 its reverse (330213221), we get a palindrome (452525254).

The spelling of 122312033 in words is "one hundred twenty-two million, three hundred twelve thousand, thirty-three".