121128 has 48 divisors (see below), whose sum is σ = 355680. Its totient is φ = 34272.

The previous prime is 121123. The next prime is 121139. The reversal of 121128 is 821121.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (121123) by changing a digit.

121128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2¹²¹¹²⁸ 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 121128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840).

121128 is an abundant number, since it is smaller than the sum of its proper divisors (234552).

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

121128 is a wasteful number, since it uses less digits than its factorization.

121128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 121128 is about 348.0344810504. The cubic root of 121128 is about 49.4783090353.

Adding to 121128 its reverse (821121), we get a palindrome (942249).

The spelling of 121128 in words is "one hundred twenty-one thousand, one hundred twenty-eight".