12214400 has 96 divisors (see below), whose sum is σ = 33011280. Its totient is φ = 4428800.

The previous prime is 12214399. The next prime is 12214409. The reversal of 12214400 is 441221.

It is not an unprimeable number, because it can be changed into a prime (12214409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35027 + ... + 35373.

Almost surely, 2^12214400 is an apocalyptic number.

12214400 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 12214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505640).

12214400 is an abundant number, since it is smaller than the sum of its proper divisors (20796880).

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

12214400 is a wasteful number, since it uses less digits than its factorization.

12214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12214400 is about 3494.9105854084. The cubic root of 12214400 is about 230.2982897259.

Adding to 12214400 its reverse (441221), we get a palindrome (12655621).

It can be divided in two parts, 12 and 214400, that added together give a palindrome (214412).

The spelling of 12214400 in words is "twelve million, two hundred fourteen thousand, four hundred".