128901312 has 84 divisors (see below), whose sum is σ = 375833640. Its totient is φ = 42227712.

The previous prime is 128901287. The next prime is 128901319. The reversal of 128901312 is 213109821.

It is not an unprimeable number, because it can be changed into a prime (128901319) 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 11 ways as a sum of consecutive naturals, for example, 32088 + ... + 35880.

It is an arithmetic number, because the mean of its divisors is an integer number (4474210).

Almost surely, 2^128901312 is an apocalyptic number.

128901312 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 128901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187916820).

128901312 is an abundant number, since it is smaller than the sum of its proper divisors (246932328).

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

128901312 is a wasteful number, since it uses less digits than its factorization.

128901312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 128901312 is about 11353.4713634201. The cubic root of 128901312 is about 505.1485521865.

The spelling of 128901312 in words is "one hundred twenty-eight million, nine hundred one thousand, three hundred twelve".