122252993 has 2 divisors, whose sum is σ = 122252994. Its totient is φ = 122252992.

The previous prime is 122252959. The next prime is 122253007. The reversal of 122252993 is 399252221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106028209 + 16224784 = 10297^2 + 4028^2 .

It is a cyclic number.

It is not a de Polignac number, because 122252993 - 2¹² = 122248897 is a prime.

It is not a weakly prime, because it can be changed into another prime (122252953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61126496 + 61126497.

It is an arithmetic number, because the mean of its divisors is an integer number (61126497).

Almost surely, 2^122252993 is an apocalyptic number.

It is an amenable number.

122252993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122252993 is an equidigital number, since it uses as much as digits as its factorization.

122252993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19440, while the sum is 35.

The square root of 122252993 is about 11056.8075410581. The cubic root of 122252993 is about 496.3101611611.

The spelling of 122252993 in words is "one hundred twenty-two million, two hundred fifty-two thousand, nine hundred ninety-three".