12330001200 has 240 divisors, whose sum is σ = 43286515200. Its totient is φ = 2975308800.

The previous prime is 12330001199. The next prime is 12330001237. The reversal of 12330001200 is 210003321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3020761 + ... + 3024839.

It is an arithmetic number, because the mean of its divisors is an integer number (180360480).

Almost surely, 2^12330001200 is an apocalyptic number.

12330001200 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 12330001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21643257600).

12330001200 is an abundant number, since it is smaller than the sum of its proper divisors (30956514000).

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

12330001200 is a wasteful number, since it uses less digits than its factorization.

12330001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4329 counting only the distinct ones).

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

Adding to 12330001200 its reverse (210003321), we get a palindrome (12540004521).

The spelling of 12330001200 in words is "twelve billion, three hundred thirty million, one thousand, two hundred".