121128912 has 80 divisors (see below), whose sum is σ = 349680000. Its totient is φ = 40144896.

The previous prime is 121128907. The next prime is 121128913. The reversal of 121128912 is 219821121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (121128913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85264 + ... + 86672.

It is an arithmetic number, because the mean of its divisors is an integer number (4371000).

Almost surely, 2^121128912 is an apocalyptic number.

121128912 is a gapful number since it is divisible by the number (12) 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 121128912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174840000).

121128912 is an abundant number, since it is smaller than the sum of its proper divisors (228551088).

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

121128912 is a wasteful number, since it uses less digits than its factorization.

121128912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1613 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 121128912 is about 11005.8580764973. The cubic root of 121128912 is about 494.7843321277.

The spelling of 121128912 in words is "one hundred twenty-one million, one hundred twenty-eight thousand, nine hundred twelve".