121128120 has 96 divisors (see below), whose sum is σ = 410810400. Its totient is φ = 30894336.

The previous prime is 121128113. The next prime is 121128131. The reversal of 121128120 is 21821121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121128093 and 121128102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966 + ... + 15594.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 2^121128120 is an apocalyptic number.

121128120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

121128120 is an abundant number, since it is smaller than the sum of its proper divisors (289682280).

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

121128120 is a wasteful number, since it uses less digits than its factorization.

121128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14669 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 121128120 is about 11005.8220956001. The cubic root of 121128120 is about 494.7832537448.

Adding to 121128120 its reverse (21821121), we get a palindrome (142949241).

The spelling of 121128120 in words is "one hundred twenty-one million, one hundred twenty-eight thousand, one hundred twenty".