12214441200 has 480 divisors, whose sum is σ = 43804071360. Its totient is φ = 2907340800.

The previous prime is 12214441199. The next prime is 12214441207. The reversal of 12214441200 is 214441221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214441207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108092344 + ... + 108092456.

It is an arithmetic number, because the mean of its divisors is an integer number (91258482).

Almost surely, 2^12214441200 is an apocalyptic number.

12214441200 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 12214441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902035680).

12214441200 is an abundant number, since it is smaller than the sum of its proper divisors (31589630160).

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

12214441200 is a wasteful number, since it uses less digits than its factorization.

12214441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12214441200 its sum of digits (21), we get a palindrome (12214441221).

Adding to 12214441200 its reverse (214441221), we get a palindrome (12428882421).

The spelling of 12214441200 in words is "twelve billion, two hundred fourteen million, four hundred forty-one thousand, two hundred".