12033440000 has 90 divisors (see below), whose sum is σ = 30015634110. Its totient is φ = 4813312000.

The previous prime is 12033439997. The next prime is 12033440039. The reversal of 12033440000 is 4433021.

12033440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1927561216 + 10105878784 = 43904^2 + 100528^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 122396 + ... + 197604.

Almost surely, 2^12033440000 is an apocalyptic number.

12033440000 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 12033440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007817055).

12033440000 is an abundant number, since it is smaller than the sum of its proper divisors (17982194110).

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

12033440000 is an frugal number, since it uses more digits than its factorization.

12033440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75245 (or 75216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12033440000 its reverse (4433021), we get a palindrome (12037873021).

The spelling of 12033440000 in words is "twelve billion, thirty-three million, four hundred forty thousand".