112147200 has 432 divisors, whose sum is σ = 456220800. Its totient is φ = 26726400.

The previous prime is 112147187. The next prime is 112147207. The reversal of 112147200 is 2741211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112147207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1900771 + ... + 1900829.

Almost surely, 2^112147200 is an apocalyptic number.

112147200 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 112147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

112147200 is an abundant number, since it is smaller than the sum of its proper divisors (344073600).

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

112147200 is a wasteful number, since it uses less digits than its factorization.

112147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 112147200 is about 10589.9575069969. The cubic root of 112147200 is about 482.2395347579.

Adding to 112147200 its reverse (2741211), we get a palindrome (114888411).

The spelling of 112147200 in words is "one hundred twelve million, one hundred forty-seven thousand, two hundred".