12000128 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 5033472.

The previous prime is 12000127. The next prime is 12000133. The reversal of 12000128 is 82100021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52751 + ... + 52977.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^12000128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

12000128 is an abundant number, since it is smaller than the sum of its proper divisors (15907072).

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

12000128 is an equidigital number, since it uses as much as digits as its factorization.

12000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 12000128 is about 3464.1200902971. The cubic root of 12000128 is about 228.9436625268.

Adding to 12000128 its reverse (82100021), we get a palindrome (94100149).

The spelling of 12000128 in words is "twelve million, one hundred twenty-eight", and thus it is an aban number.