12328774128 has 480 divisors, whose sum is σ = 40947379200. Its totient is φ = 3558297600.

The previous prime is 12328774127. The next prime is 12328774177. The reversal of 12328774128 is 82147782321.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328774123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138525508 + ... + 138525596.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 2^12328774128 is an apocalyptic number.

12328774128 is a gapful number since it is divisible by the number (18) 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 12328774128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

12328774128 is an abundant number, since it is smaller than the sum of its proper divisors (28618605072).

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

12328774128 is a wasteful number, since it uses less digits than its factorization.

12328774128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 12328774128 in words is "twelve billion, three hundred twenty-eight million, seven hundred seventy-four thousand, one hundred twenty-eight".