216303120 has 240 divisors, whose sum is σ = 818947584. Its totient is φ = 50688000.

The previous prime is 216303103. The next prime is 216303149. The reversal of 216303120 is 21303612.

216303120 is a `hidden beast` number, since 2 + 1 + 630 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 216303093 and 216303102.

It is a congruent number.

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, 245080 + ... + 245960.

Almost surely, 2^216303120 is an apocalyptic number.

216303120 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 216303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

216303120 is an abundant number, since it is smaller than the sum of its proper divisors (602644464).

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

216303120 is a wasteful number, since it uses less digits than its factorization.

216303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 216303120 is about 14707.2471931358. The cubic root of 216303120 is about 600.2805354793.

Adding to 216303120 its reverse (21303612), we get a palindrome (237606732).

The spelling of 216303120 in words is "two hundred sixteen million, three hundred three thousand, one hundred twenty".