12280128000 has 320 divisors, whose sum is σ = 46666084608. Its totient is φ = 2806579200.

The previous prime is 12280127989. The next prime is 12280128023. The reversal of 12280128000 is 82108221.

12280128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339432 + ... + 1348568.

Almost surely, 2^12280128000 is an apocalyptic number.

12280128000 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 12280128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23333042304).

12280128000 is an abundant number, since it is smaller than the sum of its proper divisors (34385956608).

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

12280128000 is an frugal number, since it uses more digits than its factorization.

12280128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 12280128000 in words is "twelve billion, two hundred eighty million, one hundred twenty-eight thousand".