122123121133033 has 2 divisors, whose sum is σ = 122123121133034. Its totient is φ = 122123121133032.

The previous prime is 122123121133007. The next prime is 122123121133037. The reversal of 122123121133033 is 330331121321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77784409285209 + 44338711847824 = 8819547^2 + 6658732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122123121133033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122123121132992 and 122123121133010.

It is not a weakly prime, because it can be changed into another prime (122123121133037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061560566516 + 61061560566517.

It is an arithmetic number, because the mean of its divisors is an integer number (61061560566517).

Almost surely, 2^{122123121133033} is an apocalyptic number.

It is an amenable number.

122123121133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123121133033 is an equidigital number, since it uses as much as digits as its factorization.

122123121133033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122123121133033 its reverse (330331121321221), we get a palindrome (452454242454254).

The spelling of 122123121133033 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, thirty-three".