122788561 has 9 divisors (see below), whose sum is σ = 142925961. Its totient is φ = 105180852.

The previous prime is 122788529. The next prime is 122788571. The reversal of 122788561 is 165887221.

The square root of 122788561 is 11081.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 122788561 - 2⁵ = 122788529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122788571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76776 + ... + 78358.

Almost surely, 2^122788561 is an apocalyptic number.

122788561 is the 11081-st square number.

122788561 is the 5541-st centered octagonal number.

It is an amenable number.

122788561 is a deficient number, since it is larger than the sum of its proper divisors (20137400).

122788561 is an frugal number, since it uses more digits than its factorization.

122788561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 1590 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The cubic root of 122788561 is about 497.0338534105.

The spelling of 122788561 in words is "one hundred twenty-two million, seven hundred eighty-eight thousand, five hundred sixty-one".