12334444320 has 384 divisors, whose sum is σ = 45836098560. Its totient is φ = 2755399680.

The previous prime is 12334444273. The next prime is 12334444321. The reversal of 12334444320 is 2344443321.

It is a happy number.

12334444320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12334444321) 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 63 ways as a sum of consecutive naturals, for example, 3710179 + ... + 3713501.

It is an arithmetic number, because the mean of its divisors is an integer number (119364840).

Almost surely, 2^12334444320 is an apocalyptic number.

12334444320 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 12334444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22918049280).

12334444320 is an abundant number, since it is smaller than the sum of its proper divisors (33501654240).

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

12334444320 is a wasteful number, since it uses less digits than its factorization.

12334444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12334444320 its reverse (2344443321), we get a palindrome (14678887641).

Subtracting from 12334444320 its reverse (2344443321), we obtain a palindrome (9990000999).

It can be divided in two parts, 12334 and 444320, that added together give a palindrome (456654).

The spelling of 12334444320 in words is "twelve billion, three hundred thirty-four million, four hundred forty-four thousand, three hundred twenty".