122657441 has 2 divisors, whose sum is σ = 122657442. Its totient is φ = 122657440.

The previous prime is 122657393. The next prime is 122657449. The reversal of 122657441 is 144756221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 59613841 = 7940^2 + 7721^2 .

It is a cyclic number.

It is not a de Polignac number, because 122657441 - 2⁶ = 122657377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122657398 and 122657407.

It is not a weakly prime, because it can be changed into another prime (122657449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61328720 + 61328721.

It is an arithmetic number, because the mean of its divisors is an integer number (61328721).

Almost surely, 2^122657441 is an apocalyptic number.

It is an amenable number.

122657441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122657441 is an equidigital number, since it uses as much as digits as its factorization.

122657441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 122657441 is about 11075.0819861525. The cubic root of 122657441 is about 496.8568708811.

The spelling of 122657441 in words is "one hundred twenty-two million, six hundred fifty-seven thousand, four hundred forty-one".