121132128 has 144 divisors (see below), whose sum is σ = 357337008. Its totient is φ = 35712000.

The previous prime is 121132127. The next prime is 121132169. The reversal of 121132128 is 821231121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199278 + ... + 1199378.

It is an arithmetic number, because the mean of its divisors is an integer number (2481507).

Almost surely, 2^121132128 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 121132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178668504).

121132128 is an abundant number, since it is smaller than the sum of its proper divisors (236204880).

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

121132128 is a wasteful number, since it uses less digits than its factorization.

121132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 121132128 is about 11006.0041795376. The cubic root of 121132128 is about 494.7887109676.

Adding to 121132128 its reverse (821231121), we get a palindrome (942363249).

It can be divided in two parts, 12113 and 2128, that added together give a palindrome (14241).

The spelling of 121132128 in words is "one hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty-eight".