11214400 has 84 divisors (see below), whose sum is σ = 28409392. Its totient is φ = 4354560.

The previous prime is 11214383. The next prime is 11214431. The reversal of 11214400 is 441211.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68719 + ... + 68881.

Almost surely, 2^11214400 is an apocalyptic number.

11214400 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 11214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204696).

11214400 is an abundant number, since it is smaller than the sum of its proper divisors (17194992).

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

11214400 is a wasteful number, since it uses less digits than its factorization.

11214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11214400 is about 3348.7908265522. The cubic root of 11214400 is about 223.8336349745.

Adding to 11214400 its reverse (441211), we get a palindrome (11655611).

The spelling of 11214400 in words is "eleven million, two hundred fourteen thousand, four hundred".