| Base | Representation |
|---|---|
| bin | 1100010010110100111… |
| … | …0101000111111001000 |
| 3 | 202012011202000222021220 |
| 4 | 3010231032220333020 |
| 5 | 11430030311210440 |
| 6 | 241010214402040 |
| 7 | 21155015110152 |
| oct | 3045516507710 |
| 9 | 665152028256 |
| 10 | 211212210120 |
| 11 | 8163587165a |
| 12 | 34b26660320 |
| 13 | 16bc01b7632 |
| 14 | a319231ad2 |
| 15 | 57629808d0 |
| hex | 312d3a8fc8 |
211212210120 has 256 divisors, whose sum is σ = 669774873600. Its totient is φ = 53225103360.
The previous prime is 211212210113. The next prime is 211212210229. The reversal of 211212210120 is 21012212112.
211212210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112122101202 (a number of 23 digits) contains 22 as substring.
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 211212210120.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20594914 + ... + 20605166.
It is an arithmetic number, because the mean of its divisors is an integer number (2616308100).
Almost surely, 2211212210120 is an apocalyptic number.
211212210120 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 211212210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334887436800).
211212210120 is an abundant number, since it is smaller than the sum of its proper divisors (458562663480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211212210120 is a wasteful number, since it uses less digits than its factorization.
211212210120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10440 (or 10436 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 211212210120 its reverse (21012212112), we get a palindrome (232224422232).
The spelling of 211212210120 in words is "two hundred eleven billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".
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