218211112 has 64 divisors (see below), whose sum is σ = 480528000. Its totient is φ = 92856960.

The previous prime is 218211107. The next prime is 218211113. The reversal of 218211112 is 211112812.

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

It is a self number, because there is not a number n which added to its sum of digits gives 218211112.

It is not an unprimeable number, because it can be changed into a prime (218211113) 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, 770923 + ... + 771205.

It is an arithmetic number, because the mean of its divisors is an integer number (7508250).

Almost surely, 2^218211112 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 218211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240264000).

218211112 is an abundant number, since it is smaller than the sum of its proper divisors (262316888).

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

218211112 is a wasteful number, since it uses less digits than its factorization.

218211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 573 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

The square root of 218211112 is about 14771.9704846713. The cubic root of 218211112 is about 602.0403794800.

Adding to 218211112 its reverse (211112812), we get a palindrome (429323924).

The spelling of 218211112 in words is "two hundred eighteen million, two hundred eleven thousand, one hundred twelve".