12321311200 has 144 divisors (see below), whose sum is σ = 33946108560. Its totient is φ = 4325888000.

The previous prime is 12321311183. The next prime is 12321311213. The reversal of 12321311200 is 211312321.

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 23 ways as a sum of consecutive naturals, for example, 231060 + ... + 279340.

It is an arithmetic number, because the mean of its divisors is an integer number (235736865).

Almost surely, 2^12321311200 is an apocalyptic number.

12321311200 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 12321311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973054280).

12321311200 is an abundant number, since it is smaller than the sum of its proper divisors (21624797360).

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

12321311200 is a wasteful number, since it uses less digits than its factorization.

12321311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48341 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12321311200 its reverse (211312321), we get a palindrome (12532623521).

The spelling of 12321311200 in words is "twelve billion, three hundred twenty-one million, three hundred eleven thousand, two hundred".