12000321300 has 288 divisors, whose sum is σ = 39757455360. Its totient is φ = 2766297600.

The previous prime is 12000321293. The next prime is 12000321337. The reversal of 12000321300 is 312300021.

It is a happy number.

12000321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12000321300² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16925346 + ... + 16926054.

It is an arithmetic number, because the mean of its divisors is an integer number (138046720).

Almost surely, 2^12000321300 is an apocalyptic number.

12000321300 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 12000321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878727680).

12000321300 is an abundant number, since it is smaller than the sum of its proper divisors (27757134060).

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

12000321300 is a wasteful number, since it uses less digits than its factorization.

12000321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

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

Adding to 12000321300 its reverse (312300021), we get a palindrome (12312621321).

The spelling of 12000321300 in words is "twelve billion, three hundred twenty-one thousand, three hundred".