122842033 has 2 divisors, whose sum is σ = 122842034. Its totient is φ = 122842032.

The previous prime is 122841977. The next prime is 122842037. The reversal of 122842033 is 330248221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105925264 + 16916769 = 10292^2 + 4113^2 .

It is an emirp because it is prime and its reverse (330248221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122842033 - 2¹⁷ = 122710961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122841989 and 122842007.

It is not a weakly prime, because it can be changed into another prime (122842037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61421016 + 61421017.

It is an arithmetic number, because the mean of its divisors is an integer number (61421017).

Almost surely, 2^122842033 is an apocalyptic number.

It is an amenable number.

122842033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122842033 is an equidigital number, since it uses as much as digits as its factorization.

122842033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 122842033 is about 11083.4125160079. The cubic root of 122842033 is about 497.1059924245.

The spelling of 122842033 in words is "one hundred twenty-two million, eight hundred forty-two thousand, thirty-three".