12348211200 has 360 divisors, whose sum is σ = 44027838288. Its totient is φ = 3035627520.

The previous prime is 12348211199. The next prime is 12348211219. The reversal of 12348211200 is 211284321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15974014 + ... + 15974786.

Almost surely, 2^12348211200 is an apocalyptic number.

12348211200 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 12348211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22013919144).

12348211200 is an abundant number, since it is smaller than the sum of its proper divisors (31679627088).

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

12348211200 is an equidigital number, since it uses as much as digits as its factorization.

12348211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12348211200 its reverse (211284321), we get a palindrome (12559495521).

The spelling of 12348211200 in words is "twelve billion, three hundred forty-eight million, two hundred eleven thousand, two hundred".