12330321040 has 80 divisors (see below), whose sum is σ = 29498580720. Its totient is φ = 4789739520.

The previous prime is 12330321023. The next prime is 12330321041. The reversal of 12330321040 is 4012303321.

12330321040 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 8 ways, for example, as 1972781056 + 10357539984 = 44416^2 + 101772^2 .

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 = 12330320999 and 12330321017.

It is not an unprimeable number, because it can be changed into a prime (12330321041) 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 15 ways as a sum of consecutive naturals, for example, 1680580 + ... + 1687900.

It is an arithmetic number, because the mean of its divisors is an integer number (368732259).

Almost surely, 2^12330321040 is an apocalyptic number.

12330321040 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 12330321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749290360).

12330321040 is an abundant number, since it is smaller than the sum of its proper divisors (17168259680).

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

12330321040 is a wasteful number, since it uses less digits than its factorization.

12330321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12330321040 its reverse (4012303321), we get a palindrome (16342624361).

The spelling of 12330321040 in words is "twelve billion, three hundred thirty million, three hundred twenty-one thousand, forty".