12728113920 has 432 divisors, whose sum is σ = 47064326400. Its totient is φ = 3168829440.

The previous prime is 12728113913. The next prime is 12728113921. The reversal of 12728113920 is 2931182721.

12728113920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12728113921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10355866 + ... + 10357094.

It is an arithmetic number, because the mean of its divisors is an integer number (108945200).

Almost surely, 2^12728113920 is an apocalyptic number.

12728113920 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 12728113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532163200).

12728113920 is an abundant number, since it is smaller than the sum of its proper divisors (34336212480).

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

12728113920 is a wasteful number, since it uses less digits than its factorization.

12728113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12728113920 in words is "twelve billion, seven hundred twenty-eight million, one hundred thirteen thousand, nine hundred twenty".