12833134128 has 320 divisors, whose sum is σ = 40076006400. Its totient is φ = 3929990400.

The previous prime is 12833134121. The next prime is 12833134163. The reversal of 12833134128 is 82143133821.

12833134128 is a `hidden beast` number, since 1 + 283 + 31 + 341 + 2 + 8 = 666.

12833134128 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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12833134092 and 12833134101.

It is not an unprimeable number, because it can be changed into a prime (12833134121) 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 63 ways as a sum of consecutive naturals, for example, 180748333 + ... + 180748403.

It is an arithmetic number, because the mean of its divisors is an integer number (125237520).

Almost surely, 2^12833134128 is an apocalyptic number.

12833134128 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 12833134128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038003200).

12833134128 is an abundant number, since it is smaller than the sum of its proper divisors (27242872272).

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

12833134128 is an equidigital number, since it uses as much as digits as its factorization.

12833134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 12833134128 its reverse (82143133821), we get a palindrome (94976267949).

The spelling of 12833134128 in words is "twelve billion, eight hundred thirty-three million, one hundred thirty-four thousand, one hundred twenty-eight".