12003131200 has 168 divisors, whose sum is σ = 30036695832. Its totient is φ = 4720558080.

The previous prime is 12003131171. The next prime is 12003131243. The reversal of 12003131200 is 213130021.

12003131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4500799744 + 7502331456 = 67088^2 + 86616^2 .

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, 35617432 + ... + 35617768.

Almost surely, 2^12003131200 is an apocalyptic number.

12003131200 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 12003131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018347916).

12003131200 is an abundant number, since it is smaller than the sum of its proper divisors (18033564632).

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

12003131200 is a wasteful number, since it uses less digits than its factorization.

12003131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12003131200 its reverse (213130021), we get a palindrome (12216261221).

The spelling of 12003131200 in words is "twelve billion, three million, one hundred thirty-one thousand, two hundred".