112440000 has 140 divisors (see below), whose sum is σ = 372149624. Its totient is φ = 29952000.

The previous prime is 112439993. The next prime is 112440037. The reversal of 112440000 is 44211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119532 + ... + 120468.

Almost surely, 2^112440000 is an apocalyptic number.

112440000 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 112440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186074812).

112440000 is an abundant number, since it is smaller than the sum of its proper divisors (259709624).

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

112440000 is an frugal number, since it uses more digits than its factorization.

112440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 112440000 is about 10603.7729134493. The cubic root of 112440000 is about 482.6588557625.

Adding to 112440000 its reverse (44211), we get a palindrome (112484211).

The spelling of 112440000 in words is "one hundred twelve million, four hundred forty thousand".