12228128000 has 144 divisors (see below), whose sum is σ = 33232006080. Its totient is φ = 4446464000.

The previous prime is 12228127993. The next prime is 12228128009. The reversal of 12228128000 is 82182221.

It is a super-2 number, since 2×12228128000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228128009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334631 + ... + 369369.

It is an arithmetic number, because the mean of its divisors is an integer number (230777820).

Almost surely, 2^12228128000 is an apocalyptic number.

12228128000 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 12228128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616003040).

12228128000 is an abundant number, since it is smaller than the sum of its proper divisors (21003878080).

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

12228128000 is an equidigital number, since it uses as much as digits as its factorization.

12228128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34781 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 12228128000 in words is "twelve billion, two hundred twenty-eight million, one hundred twenty-eight thousand".