128312688000 has 1024 divisors, whose sum is σ = 508124897280. Its totient is φ = 28036915200.

The previous prime is 128312687929. The next prime is 128312688041. The reversal of 128312688000 is 886213821.

It is a self number, because there is not a number n which added to its sum of digits gives 128312688000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1199183947 + ... + 1199184053.

It is an arithmetic number, because the mean of its divisors is an integer number (496215720).

Almost surely, 2^128312688000 is an apocalyptic number.

128312688000 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 128312688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254062448640).

128312688000 is an abundant number, since it is smaller than the sum of its proper divisors (379812209280).

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

128312688000 is a wasteful number, since it uses less digits than its factorization.

128312688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 128312688000 in words is "one hundred twenty-eight billion, three hundred twelve million, six hundred eighty-eight thousand".