218013120 has 280 divisors, whose sum is σ = 836456544. Its totient is φ = 53581824.

The previous prime is 218013101. The next prime is 218013143. The reversal of 218013120 is 21310812.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 218013093 and 218013102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336637 + ... + 337283.

Almost surely, 2^218013120 is an apocalyptic number.

218013120 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 218013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418228272).

218013120 is an abundant number, since it is smaller than the sum of its proper divisors (618443424).

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

218013120 is a wasteful number, since it uses less digits than its factorization.

218013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

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

The square root of 218013120 is about 14765.2673528115. The cubic root of 218013120 is about 601.8582389719.

Adding to 218013120 its reverse (21310812), we get a palindrome (239323932).

The spelling of 218013120 in words is "two hundred eighteen million, thirteen thousand, one hundred twenty".