11224400 has 60 divisors (see below), whose sum is σ = 29429664. Its totient is φ = 4080000.

The previous prime is 11224373. The next prime is 11224439. The reversal of 11224400 is 442211.

It is a zygodrome in base 10.

It is a congruent number.

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, 3125 + ... + 5675.

Almost surely, 2^11224400 is an apocalyptic number.

11224400 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 11224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714832).

11224400 is an abundant number, since it is smaller than the sum of its proper divisors (18205264).

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

11224400 is a wasteful number, since it uses less digits than its factorization.

11224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2569 counting only the distinct ones).

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

The square root of 11224400 is about 3350.2835700878. The cubic root of 11224400 is about 223.9001468213.

Adding to 11224400 its reverse (442211), we get a palindrome (11666611).

The spelling of 11224400 in words is "eleven million, two hundred twenty-four thousand, four hundred".