122123312033 has 2 divisors, whose sum is σ = 122123312034. Its totient is φ = 122123312032.

The previous prime is 122123312021. The next prime is 122123312089. The reversal of 122123312033 is 330213321221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78227614864 + 43895697169 = 279692^2 + 209513^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123312033 - 2⁸ = 122123311777 is a prime.

It is not a weakly prime, because it can be changed into another prime (122123312533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061656016 + 61061656017.

It is an arithmetic number, because the mean of its divisors is an integer number (61061656017).

Almost surely, 2^122123312033 is an apocalyptic number.

It is an amenable number.

122123312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123312033 is an equidigital number, since it uses as much as digits as its factorization.

122123312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122123312033 its reverse (330213321221), we get a palindrome (452336633254).

The spelling of 122123312033 in words is "one hundred twenty-two billion, one hundred twenty-three million, three hundred twelve thousand, thirty-three".