12004313200 has 180 divisors, whose sum is σ = 31886787240. Its totient is φ = 4339596800.

The previous prime is 12004313197. The next prime is 12004313219. The reversal of 12004313200 is 231340021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9534171 + ... + 9535429.

It is an arithmetic number, because the mean of its divisors is an integer number (177148818).

Almost surely, 2^12004313200 is an apocalyptic number.

12004313200 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 12004313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943393620).

12004313200 is an abundant number, since it is smaller than the sum of its proper divisors (19882474040).

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

12004313200 is a wasteful number, since it uses less digits than its factorization.

12004313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12004313200 its reverse (231340021), we get a palindrome (12235653221).

The spelling of 12004313200 in words is "twelve billion, four million, three hundred thirteen thousand, two hundred".