122882128 has 20 divisors (see below), whose sum is σ = 238326388. Its totient is φ = 61378560.

The previous prime is 122882119. The next prime is 122882129. The reversal of 122882128 is 821288221.

It can be written as a sum of positive squares in 2 ways, for example, as 107578384 + 15303744 = 10372^2 + 3912^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122882093 and 122882102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122882129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15118 + ... + 21778.

Almost surely, 2^122882128 is an apocalyptic number.

It is an amenable number.

122882128 is a deficient number, since it is larger than the sum of its proper divisors (115444260).

122882128 is a wasteful number, since it uses less digits than its factorization.

122882128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7816 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 122882128 is about 11085.2211525075. The cubic root of 122882128 is about 497.1600708105.

The spelling of 122882128 in words is "one hundred twenty-two million, eight hundred eighty-two thousand, one hundred twenty-eight".