128218000 has 40 divisors (see below), whose sum is σ = 310035960. Its totient is φ = 51286400.

The previous prime is 128217983. The next prime is 128218001. The reversal of 128218000 is 812821.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 125708944 = 1584^2 + 11212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (128218001) 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 7 ways as a sum of consecutive naturals, for example, 30055 + ... + 34054.

It is an arithmetic number, because the mean of its divisors is an integer number (7750899).

Almost surely, 2^128218000 is an apocalyptic number.

128218000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128218000 is an abundant number, since it is smaller than the sum of its proper divisors (181817960).

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

128218000 is an equidigital number, since it uses as much as digits as its factorization.

128218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64132 (or 64116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 128218000 is about 11323.3387302509. The cubic root of 128218000 is about 504.2543647578.

The spelling of 128218000 in words is "one hundred twenty-eight million, two hundred eighteen thousand".