216120120 has 64 divisors (see below), whose sum is σ = 650557440. Its totient is φ = 57436800.

The previous prime is 216120101. The next prime is 216120137. The reversal of 216120120 is 21021612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 216120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34425 + ... + 40215.

It is an arithmetic number, because the mean of its divisors is an integer number (10164960).

Almost surely, 2^216120120 is an apocalyptic number.

216120120 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 216120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325278720).

216120120 is an abundant number, since it is smaller than the sum of its proper divisors (434437320).

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

216120120 is a wasteful number, since it uses less digits than its factorization.

216120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 216120120 is about 14701.0244540984. The cubic root of 216120120 is about 600.1112016113. Note that the first 3 decimals are identical.

Adding to 216120120 its reverse (21021612), we get a palindrome (237141732).

The spelling of 216120120 in words is "two hundred sixteen million, one hundred twenty thousand, one hundred twenty".