12000331200 has 336 divisors, whose sum is σ = 46256789376. Its totient is φ = 2685235200.

The previous prime is 12000331199. The next prime is 12000331223. The reversal of 12000331200 is 213300021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677659 + ... + 695141.

It is an arithmetic number, because the mean of its divisors is an integer number (137669016).

Almost surely, 2^12000331200 is an apocalyptic number.

12000331200 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 12000331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128394688).

12000331200 is an abundant number, since it is smaller than the sum of its proper divisors (34256458176).

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

12000331200 is a wasteful number, since it uses less digits than its factorization.

12000331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17532 (or 17517 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12000331200 its reverse (213300021), we get a palindrome (12213631221).

The spelling of 12000331200 in words is "twelve billion, three hundred thirty-one thousand, two hundred".