12330204000 has 192 divisors, whose sum is σ = 40479409152. Its totient is φ = 3281088000.

The previous prime is 12330203987. The next prime is 12330204001. The reversal of 12330204000 is 40203321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330204001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8291257 + ... + 8292743.

It is an arithmetic number, because the mean of its divisors is an integer number (210830256).

Almost surely, 2^12330204000 is an apocalyptic number.

12330204000 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 12330204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239704576).

12330204000 is an abundant number, since it is smaller than the sum of its proper divisors (28149205152).

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

12330204000 is a wasteful number, since it uses less digits than its factorization.

12330204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12330204000 its reverse (40203321), we get a palindrome (12370407321).

The spelling of 12330204000 in words is "twelve billion, three hundred thirty million, two hundred four thousand".