12006313200 has 540 divisors, whose sum is σ = 50160394440. Its totient is φ = 2648540160.

The previous prime is 12006313181. The next prime is 12006313211. The reversal of 12006313200 is 231360021.

12006313200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 631 + 32 + 0 + 0 = 666.

12006313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 5114427 + ... + 5116773.

Almost surely, 2^12006313200 is an apocalyptic number.

12006313200 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 12006313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080197220).

12006313200 is an abundant number, since it is smaller than the sum of its proper divisors (38154081240).

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

12006313200 is a wasteful number, since it uses less digits than its factorization.

12006313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12006313200 its reverse (231360021), we get a palindrome (12237673221).

The spelling of 12006313200 in words is "twelve billion, six million, three hundred thirteen thousand, two hundred".