112224400 has 30 divisors (see below), whose sum is σ = 269620082. Its totient is φ = 44889600.

The previous prime is 112224389. The next prime is 112224443. The reversal of 112224400 is 4422211.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 110418064 = 1344^2 + 10508^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139881 + ... + 140680.

Almost surely, 2^112224400 is an apocalyptic number.

112224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112224400 is an abundant number, since it is smaller than the sum of its proper divisors (157395682).

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

112224400 is a wasteful number, since it uses less digits than its factorization.

112224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280579 (or 280568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 112224400 is about 10593.6018426218. The cubic root of 112224400 is about 482.3501642187.

Adding to 112224400 its reverse (4422211), we get a palindrome (116646611).

The spelling of 112224400 in words is "one hundred twelve million, two hundred twenty-four thousand, four hundred".