12833116128 has 576 divisors, whose sum is σ = 46736621568. Its totient is φ = 3255828480.

The previous prime is 12833116117. The next prime is 12833116141. The reversal of 12833116128 is 82161133821.

12833116128 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 31 + 1 + 612 + 8 = 666.

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 = 12833116092 and 12833116101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49934176 + ... + 49934432.

It is an arithmetic number, because the mean of its divisors is an integer number (81139968).

Almost surely, 2^12833116128 is an apocalyptic number.

12833116128 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 12833116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23368310784).

12833116128 is an abundant number, since it is smaller than the sum of its proper divisors (33903505440).

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

12833116128 is a wasteful number, since it uses less digits than its factorization.

12833116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 12833116128 its reverse (82161133821), we get a palindrome (94994249949).

The spelling of 12833116128 in words is "twelve billion, eight hundred thirty-three million, one hundred sixteen thousand, one hundred twenty-eight".