12390883200 has 192 divisors, whose sum is σ = 45347506800. Its totient is φ = 3304212480.

The previous prime is 12390883199. The next prime is 12390883207. The reversal of 12390883200 is 238809321.

It is a happy number.

12390883200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12390883207) by changing a digit.

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, 14694 + ... + 158106.

Almost surely, 2^12390883200 is an apocalyptic number.

12390883200 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 12390883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673753400).

12390883200 is an abundant number, since it is smaller than the sum of its proper divisors (32956623600).

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

12390883200 is a wasteful number, since it uses less digits than its factorization.

12390883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143446 (or 143423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12390883200 in words is "twelve billion, three hundred ninety million, eight hundred eighty-three thousand, two hundred".