122312253011233 has 2 divisors, whose sum is σ = 122312253011234. Its totient is φ = 122312253011232.

The previous prime is 122312253011197. The next prime is 122312253011243. The reversal of 122312253011233 is 332110352213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97982420540449 + 24329832470784 = 9898607^2 + 4932528^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312253011233 - 2¹⁷ = 122312252880161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122312253011195 and 122312253011204.

It is not a weakly prime, because it can be changed into another prime (122312253011243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156126505616 + 61156126505617.

It is an arithmetic number, because the mean of its divisors is an integer number (61156126505617).

Almost surely, 2^{122312253011233} is an apocalyptic number.

It is an amenable number.

122312253011233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312253011233 is an equidigital number, since it uses as much as digits as its factorization.

122312253011233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 122312253011233 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred fifty-three million, eleven thousand, two hundred thirty-three".