112812210 has 96 divisors (see below), whose sum is σ = 349989120. Its totient is φ = 25782624.

The previous prime is 112812199. The next prime is 112812211. The reversal of 112812210 is 12218211.

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 (112812211) 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, 8967 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (3645720).

Almost surely, 2^112812210 is an apocalyptic number.

112812210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112812210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174994560).

112812210 is an abundant number, since it is smaller than the sum of its proper divisors (237176910).

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

112812210 is a wasteful number, since it uses less digits than its factorization.

112812210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 112812210 is about 10621.3092413318. The cubic root of 112812210 is about 483.1908508540.

The spelling of 112812210 in words is "one hundred twelve million, eight hundred twelve thousand, two hundred ten".