128205312 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 38522880.

The previous prime is 128205299. The next prime is 128205353. The reversal of 128205312 is 213502821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 671137 + ... + 671327.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^128205312 is an apocalyptic number.

128205312 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 128205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

128205312 is an abundant number, since it is smaller than the sum of its proper divisors (248913408).

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

128205312 is a wasteful number, since it uses less digits than its factorization.

128205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 128205312 is about 11322.7784576048. The cubic root of 128205312 is about 504.2377311327.

The spelling of 128205312 in words is "one hundred twenty-eight million, two hundred five thousand, three hundred twelve".