112318218 has 64 divisors (see below), whose sum is σ = 273456000. Its totient is φ = 34013952.

The previous prime is 112318211. The next prime is 112318231. The reversal of 112318218 is 812813211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112318191 and 112318200.

It is not an unprimeable number, because it can be changed into a prime (112318211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24513 + ... + 28731.

It is an arithmetic number, because the mean of its divisors is an integer number (4272750).

Almost surely, 2^112318218 is an apocalyptic number.

112318218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112318218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136728000).

112318218 is an abundant number, since it is smaller than the sum of its proper divisors (161137782).

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

112318218 is a wasteful number, since it uses less digits than its factorization.

112318218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 112318218 is about 10598.0289676902. The cubic root of 112318218 is about 482.4845394028.

The spelling of 112318218 in words is "one hundred twelve million, three hundred eighteen thousand, two hundred eighteen".