12330114048 has 264 divisors, whose sum is σ = 41027775360. Its totient is φ = 3493601280.

The previous prime is 12330114031. The next prime is 12330114073. The reversal of 12330114048 is 84041103321.

12330114048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8450343 + ... + 8451801.

It is an arithmetic number, because the mean of its divisors is an integer number (155408240).

Almost surely, 2^12330114048 is an apocalyptic number.

12330114048 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 12330114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513887680).

12330114048 is an abundant number, since it is smaller than the sum of its proper divisors (28697661312).

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

12330114048 is a wasteful number, since it uses less digits than its factorization.

12330114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12330114048 its reverse (84041103321), we get a palindrome (96371217369).

The spelling of 12330114048 in words is "twelve billion, three hundred thirty million, one hundred fourteen thousand, forty-eight".