112401200 has 60 divisors (see below), whose sum is σ = 273539040. Its totient is φ = 44378880.

The previous prime is 112401197. The next prime is 112401209. The reversal of 112401200 is 2104211.

It is a super-2 number, since 2×112401200² = 25268059522880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112401209) 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 11 ways as a sum of consecutive naturals, for example, 29822 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (4558984).

Almost surely, 2^112401200 is an apocalyptic number.

112401200 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 112401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136769520).

112401200 is an abundant number, since it is smaller than the sum of its proper divisors (161137840).

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

112401200 is a wasteful number, since it uses less digits than its factorization.

112401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 112401200 is about 10601.9432181087. The cubic root of 112401200 is about 482.6033318740.

Adding to 112401200 its reverse (2104211), we get a palindrome (114505411).

The spelling of 112401200 in words is "one hundred twelve million, four hundred one thousand, two hundred".