128618112 has 128 divisors (see below), whose sum is σ = 397555200. Its totient is φ = 36080640.

The previous prime is 128618099. The next prime is 128618129. The reversal of 128618112 is 211816821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 128618112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158187 + ... + 158997.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900).

Almost surely, 2^128618112 is an apocalyptic number.

128618112 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 128618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198777600).

128618112 is an abundant number, since it is smaller than the sum of its proper divisors (268937088).

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

128618112 is an equidigital number, since it uses as much as digits as its factorization.

128618112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 128618112 is about 11340.9925491555. The cubic root of 128618112 is about 504.7783388209.

The spelling of 128618112 in words is "one hundred twenty-eight million, six hundred eighteen thousand, one hundred twelve".