128468120 has 128 divisors (see below), whose sum is σ = 337305600. Its totient is φ = 43908480.

The previous prime is 128468117. The next prime is 128468203. The reversal of 128468120 is 21864821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1011497 + ... + 1011623.

It is an arithmetic number, because the mean of its divisors is an integer number (2635200).

Almost surely, 2^128468120 is an apocalyptic number.

128468120 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 128468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652800).

128468120 is an abundant number, since it is smaller than the sum of its proper divisors (208837480).

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

128468120 is a wasteful number, since it uses less digits than its factorization.

128468120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 128468120 is about 11334.3777950093. The cubic root of 128468120 is about 504.5820415237.

The spelling of 128468120 in words is "one hundred twenty-eight million, four hundred sixty-eight thousand, one hundred twenty".