12133045040 has 80 divisors (see below), whose sum is σ = 28510898400. Its totient is φ = 4801499136.

The previous prime is 12133045039. The next prime is 12133045063. The reversal of 12133045040 is 4054033121.

12133045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12133044997 and 12133045015.

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 15 ways as a sum of consecutive naturals, for example, 7493351 + ... + 7494969.

It is an arithmetic number, because the mean of its divisors is an integer number (356386230).

Almost surely, 2^12133045040 is an apocalyptic number.

12133045040 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 12133045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255449200).

12133045040 is an abundant number, since it is smaller than the sum of its proper divisors (16377853360).

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

12133045040 is a wasteful number, since it uses less digits than its factorization.

12133045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 12133045040 its reverse (4054033121), we get a palindrome (16187078161).

The spelling of 12133045040 in words is "twelve billion, one hundred thirty-three million, forty-five thousand, forty".