12033470089728 has 240 divisors, whose sum is σ = 35895306961800. Its totient is φ = 3877880168448.

The previous prime is 12033470089727. The next prime is 12033470089747. The reversal of 12033470089728 is 82798007433021.

12033470089728 is a `hidden beast` number, since 1 + 20 + 3 + 3 + 470 + 0 + 89 + 72 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11703295736064 + 330174353664 = 3421008^2 + 574608^2 .

It is a super-2 number, since 2×12033470089728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12033470089727) 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 23 ways as a sum of consecutive naturals, for example, 26543098 + ... + 26992646.

Almost surely, 2^{12033470089728} is an apocalyptic number.

12033470089728 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 12033470089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947653480900).

12033470089728 is an abundant number, since it is smaller than the sum of its proper divisors (23861836872072).

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

12033470089728 is a wasteful number, since it uses less digits than its factorization.

12033470089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449767 (or 449748 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12033470089728 in words is "twelve trillion, thirty-three billion, four hundred seventy million, eighty-nine thousand, seven hundred twenty-eight".