218126112 has 96 divisors (see below), whose sum is σ = 601509888. Its totient is φ = 69079296.

The previous prime is 218126101. The next prime is 218126119. The reversal of 218126112 is 211621812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (218126119) 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, 492163 + ... + 492605.

It is an arithmetic number, because the mean of its divisors is an integer number (6265728).

Almost surely, 2^218126112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300754944).

218126112 is an abundant number, since it is smaller than the sum of its proper divisors (383383776).

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

218126112 is a wasteful number, since it uses less digits than its factorization.

218126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 218126112 is about 14769.0931339741. The cubic root of 218126112 is about 601.9621981907.

Adding to 218126112 its reverse (211621812), we get a palindrome (429747924).

The spelling of 218126112 in words is "two hundred eighteen million, one hundred twenty-six thousand, one hundred twelve".