122128 has 20 divisors (see below), whose sum is σ = 251100. Its totient is φ = 57344.

The previous prime is 122117. The next prime is 122131. The reversal of 122128 is 821221.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 36864 = 292^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2¹²²¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125550).

122128 is an abundant number, since it is smaller than the sum of its proper divisors (128972).

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

122128 is a wasteful number, since it uses less digits than its factorization.

122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 122128 is about 349.4681673629. The cubic root of 122128 is about 49.6140958896.

Adding to 122128 its reverse (821221), we get a palindrome (943349).

The spelling of 122128 in words is "one hundred twenty-two thousand, one hundred twenty-eight".