| Base | Representation |
|---|---|
| bin | 11001110011110… |
| … | …11011001111000 |
| 3 | 120002101221210102 |
| 4 | 30321323121320 |
| 5 | 420411341440 |
| 6 | 33252334532 |
| 7 | 5236215446 |
| oct | 1471733170 |
| 9 | 502357712 |
| 10 | 216512120 |
| 11 | 101240840 |
| 12 | 60614448 |
| 13 | 35b18ca6 |
| 14 | 20a7db96 |
| 15 | 1401bb15 |
| hex | ce7b678 |
216512120 has 64 divisors (see below), whose sum is σ = 533744640. Its totient is φ = 78390400.
The previous prime is 216512117. The next prime is 216512137. The reversal of 216512120 is 21215612.
216512120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 216512092 and 216512101.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114785 + ... + 116655.
It is an arithmetic number, because the mean of its divisors is an integer number (8339760).
Almost surely, 2216512120 is an apocalyptic number.
216512120 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 216512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266872320).
216512120 is an abundant number, since it is smaller than the sum of its proper divisors (317232520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216512120 is a wasteful number, since it uses less digits than its factorization.
216512120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 20.
The square root of 216512120 is about 14714.3508181639. The cubic root of 216512120 is about 600.4738109254.
Adding to 216512120 its reverse (21215612), we get a palindrome (237727732).
The spelling of 216512120 in words is "two hundred sixteen million, five hundred twelve thousand, one hundred twenty".
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