216222120 has 96 divisors (see below), whose sum is σ = 704569320. Its totient is φ = 57507840.

The previous prime is 216222107. The next prime is 216222121. The reversal of 216222120 is 21222612.

216222120 is a `hidden beast` number, since 2 + 1 + 622 + 21 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165328164 + 50893956 = 12858^2 + 7134^2 .

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 = 216222093 and 216222102.

It is not an unprimeable number, because it can be changed into a prime (216222121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 230292 + ... + 231228.

Almost surely, 2^216222120 is an apocalyptic number.

216222120 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 216222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352284660).

216222120 is an abundant number, since it is smaller than the sum of its proper divisors (488347200).

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

216222120 is a wasteful number, since it uses less digits than its factorization.

216222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 216222120 is about 14704.4931908584. The cubic root of 216222120 is about 600.2055962090.

Adding to 216222120 its reverse (21222612), we get a palindrome (237444732).

The spelling of 216222120 in words is "two hundred sixteen million, two hundred twenty-two thousand, one hundred twenty".