122257873 has 2 divisors, whose sum is σ = 122257874. Its totient is φ = 122257872.

The previous prime is 122257843. The next prime is 122257907. The reversal of 122257873 is 378752221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92794689 + 29463184 = 9633^2 + 5428^2 .

It is a cyclic number.

It is not a de Polignac number, because 122257873 - 2²⁵ = 88703441 is a prime.

It is equal to p_6962905 and since 122257873 and 6962905 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (122257843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61128936 + 61128937.

It is an arithmetic number, because the mean of its divisors is an integer number (61128937).

Almost surely, 2^122257873 is an apocalyptic number.

It is an amenable number.

122257873 is a deficient number, since it is larger than the sum of its proper divisors (1).

122257873 is an equidigital number, since it uses as much as digits as its factorization.

122257873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47040, while the sum is 37.

The square root of 122257873 is about 11057.0282173828. The cubic root of 122257873 is about 496.3167648477.

It can be divided in two parts, 1222 and 57873, that added together give a palindrome (59095).

The spelling of 122257873 in words is "one hundred twenty-two million, two hundred fifty-seven thousand, eight hundred seventy-three".