112230400 has 96 divisors (see below), whose sum is σ = 280358730. Its totient is φ = 44564480.

The previous prime is 112230367. The next prime is 112230401. The reversal of 112230400 is 4032211.

It can be written as a sum of positive squares in 3 ways, for example, as 87310336 + 24920064 = 9344^2 + 4992^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (112230401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819132 + ... + 819268.

Almost surely, 2^112230400 is an apocalyptic number.

112230400 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 112230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140179365).

112230400 is an abundant number, since it is smaller than the sum of its proper divisors (168128330).

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

112230400 is an frugal number, since it uses more digits than its factorization.

112230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 112230400 is about 10593.8850286380. The cubic root of 112230400 is about 482.3587602382.

Adding to 112230400 its reverse (4032211), we get a palindrome (116262611).

The spelling of 112230400 in words is "one hundred twelve million, two hundred thirty thousand, four hundred".