112312200 has 576 divisors, whose sum is σ = 498718080. Its totient is φ = 20275200.

The previous prime is 112312199. The next prime is 112312201. The reversal of 112312200 is 2213211.

It is an interprime number because it is at equal distance from previous prime (112312199) and next prime (112312201).

It is a super-2 number, since 2×112312200² = 25228060537680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112312201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6606592 + ... + 6606608.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^112312200 is an apocalyptic number.

112312200 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 112312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

112312200 is an abundant number, since it is smaller than the sum of its proper divisors (386405880).

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

112312200 is a wasteful number, since it uses less digits than its factorization.

112312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112312200 is about 10597.7450431684. The cubic root of 112312200 is about 482.4759220895.

Adding to 112312200 its reverse (2213211), we get a palindrome (114525411).

It can be divided in two parts, 11231 and 2200, that added together give a palindrome (13431).

The spelling of 112312200 in words is "one hundred twelve million, three hundred twelve thousand, two hundred".