216114120 has 48 divisors (see below), whose sum is σ = 702372060. Its totient is φ = 57630336.

The previous prime is 216114089. The next prime is 216114137. The reversal of 216114120 is 21411612.

216114120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 194267844 + 21846276 = 13938^2 + 4674^2 .

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 = 216114093 and 216114102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299799 + ... + 300518.

Almost surely, 2^216114120 is an apocalyptic number.

216114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216114120 is an abundant number, since it is smaller than the sum of its proper divisors (486257940).

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

216114120 is a wasteful number, since it uses less digits than its factorization.

216114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600334 (or 600327 counting only the distinct ones).

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

The square root of 216114120 is about 14700.8203852710. The cubic root of 216114120 is about 600.1056480631.

Adding to 216114120 its reverse (21411612), we get a palindrome (237525732).

The spelling of 216114120 in words is "two hundred sixteen million, one hundred fourteen thousand, one hundred twenty".