123122210033 has 2 divisors, whose sum is σ = 123122210034. Its totient is φ = 123122210032.

The previous prime is 123122209999. The next prime is 123122210039. The reversal of 123122210033 is 330012221321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117147383824 + 5974826209 = 342268^2 + 77297^2 .

It is a cyclic number.

It is not a de Polignac number, because 123122210033 - 2¹² = 123122205937 is a prime.

It is a super-2 number, since 2×123122210033² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123122209987 and 123122210014.

It is not a weakly prime, because it can be changed into another prime (123122210039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561105016 + 61561105017.

It is an arithmetic number, because the mean of its divisors is an integer number (61561105017).

Almost surely, 2^123122210033 is an apocalyptic number.

It is an amenable number.

123122210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123122210033 is an equidigital number, since it uses as much as digits as its factorization.

123122210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123122210033 its reverse (330012221321), we get a palindrome (453134431354).

The spelling of 123122210033 in words is "one hundred twenty-three billion, one hundred twenty-two million, two hundred ten thousand, thirty-three".