128021320 has 160 divisors (see below), whose sum is σ = 354942720. Its totient is φ = 41489280.

The previous prime is 128021293. The next prime is 128021323. The reversal of 128021320 is 23120821.

It is not an unprimeable number, because it can be changed into a prime (128021323) 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 39 ways as a sum of consecutive naturals, for example, 2977219 + ... + 2977261.

It is an arithmetic number, because the mean of its divisors is an integer number (2218392).

Almost surely, 2^128021320 is an apocalyptic number.

128021320 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 128021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177471360).

128021320 is an abundant number, since it is smaller than the sum of its proper divisors (226921400).

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

128021320 is an equidigital number, since it uses as much as digits as its factorization.

128021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 128021320 is about 11314.6506795393. The cubic root of 128021320 is about 503.9963991512.

The spelling of 128021320 in words is "one hundred twenty-eight million, twenty-one thousand, three hundred twenty".