112211200 has 108 divisors (see below), whose sum is σ = 282286620. Its totient is φ = 44154880.

The previous prime is 112211189. The next prime is 112211243. The reversal of 112211200 is 2112211.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 112190464 = 144^2 + 10592^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569502 + ... + 569698.

It is an arithmetic number, because the mean of its divisors is an integer number (2613765).

Almost surely, 2^112211200 is an apocalyptic number.

112211200 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 112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143310).

112211200 is an abundant number, since it is smaller than the sum of its proper divisors (170075420).

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

112211200 is an equidigital number, since it uses as much as digits as its factorization.

112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 112211200 is about 10592.9788067380. The cubic root of 112211200 is about 482.3312518971.

Adding to 112211200 its reverse (2112211), we get a palindrome (114323411).

It can be divided in two parts, 11221 and 1200, that added together give a palindrome (12421).

The spelling of 112211200 in words is "one hundred twelve million, two hundred eleven thousand, two hundred".