122735441 has 2 divisors, whose sum is σ = 122735442. Its totient is φ = 122735440.

The previous prime is 122735413. The next prime is 122735447. The reversal of 122735441 is 144537221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94867600 + 27867841 = 9740^2 + 5279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122735441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122735447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61367720 + 61367721.

It is an arithmetic number, because the mean of its divisors is an integer number (61367721).

Almost surely, 2^122735441 is an apocalyptic number.

It is an amenable number.

122735441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735441 is an equidigital number, since it uses as much as digits as its factorization.

122735441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 29.

The square root of 122735441 is about 11078.6028451245. The cubic root of 122735441 is about 496.9621685392.

The spelling of 122735441 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, four hundred forty-one".