12330003400 has 192 divisors, whose sum is σ = 33891580800. Its totient is φ = 4137120000.

The previous prime is 12330003347. The next prime is 12330003403. The reversal of 12330003400 is 430003321.

It is not an unprimeable number, because it can be changed into a prime (12330003403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4832125 + ... + 4834675.

It is an arithmetic number, because the mean of its divisors is an integer number (176518650).

Almost surely, 2^12330003400 is an apocalyptic number.

12330003400 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 12330003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945790400).

12330003400 is an abundant number, since it is smaller than the sum of its proper divisors (21561577400).

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

12330003400 is a wasteful number, since it uses less digits than its factorization.

12330003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12330003400 its reverse (430003321), we get a palindrome (12760006721).

The spelling of 12330003400 in words is "twelve billion, three hundred thirty million, three thousand, four hundred".