122528 has 24 divisors (see below), whose sum is σ = 276192. Its totient is φ = 52416.

The previous prime is 122527. The next prime is 122533. The reversal of 122528 is 825221.

122528 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×122528² = 30026221568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122527) 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, 50 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (11508).

2¹²²⁵²⁸ is an apocalyptic number.

It is an amenable number.

122528 is an abundant number, since it is smaller than the sum of its proper divisors (153664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122528 is an equidigital number, since it uses as much as digits as its factorization.

122528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 122528 is about 350.0399977145. The cubic root of 122528 is about 49.6682030865.

Adding to 122528 its reverse (825221), we get a palindrome (947749).

The spelling of 122528 in words is "one hundred twenty-two thousand, five hundred twenty-eight".