218130120 has 192 divisors, whose sum is σ = 771563520. Its totient is φ = 53125632.

The previous prime is 218130119. The next prime is 218130161. The reversal of 218130120 is 21031812.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 218130093 and 218130102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594177 + ... + 594543.

It is an arithmetic number, because the mean of its divisors is an integer number (4018560).

Almost surely, 2^218130120 is an apocalyptic number.

218130120 is a gapful number since it is divisible by the number (20) 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 218130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385781760).

218130120 is an abundant number, since it is smaller than the sum of its proper divisors (553433400).

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

218130120 is a wasteful number, since it uses less digits than its factorization.

218130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 218130120 is about 14769.2288221153. The cubic root of 218130120 is about 601.9658851247.

Adding to 218130120 its reverse (21031812), we get a palindrome (239161932).

The spelling of 218130120 in words is "two hundred eighteen million, one hundred thirty thousand, one hundred twenty".