12200112 has 80 divisors (see below), whose sum is σ = 36188160. Its totient is φ = 3931200.

The previous prime is 12200063. The next prime is 12200117. The reversal of 12200112 is 21100221.

It is a super-4 number, since 4×12200112⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12200094 and 12200103.

It is not an unprimeable number, because it can be changed into a prime (12200117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12937 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 2^12200112 is an apocalyptic number.

12200112 is a gapful number since it is divisible by the number (12) 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 12200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094080).

12200112 is an abundant number, since it is smaller than the sum of its proper divisors (23988048).

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

12200112 is a wasteful number, since it uses less digits than its factorization.

12200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12200112 is about 3492.8658720312. The cubic root of 12200112 is about 230.2084562550.

Adding to 12200112 its reverse (21100221), we get a palindrome (33300333).

The spelling of 12200112 in words is "twelve million, two hundred thousand, one hundred twelve".