12321412200 has 168 divisors, whose sum is σ = 42951784950. Its totient is φ = 3285671040.

The previous prime is 12321412199. The next prime is 12321412219. The reversal of 12321412200 is 221412321.

It is a happy number.

12321412200 is a `hidden beast` number, since 1 + 232 + 1 + 412 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10099044036 + 2222368164 = 100494^2 + 47142^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 103546 + ... + 188054.

Almost surely, 2^12321412200 is an apocalyptic number.

12321412200 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 12321412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475892475).

12321412200 is an abundant number, since it is smaller than the sum of its proper divisors (30630372750).

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

12321412200 is an equidigital number, since it uses as much as digits as its factorization.

12321412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84543 (or 84519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12321412200 its reverse (221412321), we get a palindrome (12542824521).

The spelling of 12321412200 in words is "twelve billion, three hundred twenty-one million, four hundred twelve thousand, two hundred".