122720257 has 24 divisors (see below), whose sum is σ = 143113320. Its totient is φ = 104966400.

The previous prime is 122720251. The next prime is 122720261. The reversal of 122720257 is 752027221.

It can be written as a sum of positive squares in 4 ways, for example, as 2686321 + 120033936 = 1639^2 + 10956^2 .

It is not a de Polignac number, because 122720257 - 2¹¹ = 122718209 is a prime.

It is a super-2 number, since 2×122720257² = 30120522956292098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122720251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143443 + ... + 144295.

It is an arithmetic number, because the mean of its divisors is an integer number (5963055).

Almost surely, 2^122720257 is an apocalyptic number.

It is an amenable number.

122720257 is a deficient number, since it is larger than the sum of its proper divisors (20393063).

122720257 is a wasteful number, since it uses less digits than its factorization.

122720257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 122720257 is about 11077.9175389601. The cubic root of 122720257 is about 496.9416740928.

Adding to 122720257 its reverse (752027221), we get a palindrome (874747478).

The spelling of 122720257 in words is "one hundred twenty-two million, seven hundred twenty thousand, two hundred fifty-seven".