128301312 has 144 divisors (see below), whose sum is σ = 374395392. Its totient is φ = 38830080.

The previous prime is 128301289. The next prime is 128301323. The reversal of 128301312 is 213103821.

It is a super-2 number, since 2×128301312² = 32922453321842688, which contains 22 as substring.

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, 404578 + ... + 404894.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2^128301312 is an apocalyptic number.

128301312 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 128301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187197696).

128301312 is an abundant number, since it is smaller than the sum of its proper divisors (246094080).

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

128301312 is a wasteful number, since it uses less digits than its factorization.

128301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 128301312 is about 11327.0169064940. The cubic root of 128301312 is about 504.3635572891.

The spelling of 128301312 in words is "one hundred twenty-eight million, three hundred one thousand, three hundred twelve".