| Base | Representation |
|---|---|
| bin | 110000001110011111100101… |
| … | …011111000011011001010000 |
| 3 | 1000210222202220101212022220221 |
| 4 | 300032133211133003121100 |
| 5 | 210300040321321214300 |
| 6 | 2031034225331042424 |
| 7 | 62450610512005012 |
| oct | 6016374537033120 |
| 9 | 1023882811768827 |
| 10 | 212102220101200 |
| 11 | 61645056832130 |
| 12 | 1b9569b8440414 |
| 13 | 91471cc40a040 |
| 14 | 3a53b334541b2 |
| 15 | 197c3eb08731a |
| hex | c0e7e57c3650 |
212102220101200 has 960 divisors, whose sum is σ = 617513305618944. Its totient is φ = 68998348800000.
The previous prime is 212102220101183. The next prime is 212102220101207. The reversal of 212102220101200 is 2101022201212.
It is a happy number.
212102220101200 is digitally balanced in base 2, 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 (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212102220101207) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57777775365 + ... + 57777779035.
Almost surely, 2212102220101200 is an apocalyptic number.
212102220101200 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 212102220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308756652809472).
212102220101200 is an abundant number, since it is smaller than the sum of its proper divisors (405411085517744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212102220101200 is a wasteful number, since it uses less digits than its factorization.
212102220101200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4024 (or 4013 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 212102220101200 its reverse (2101022201212), we get a palindrome (214203242302412).
It can be divided in two parts, 2121022 and 20101200, that added together give a palindrome (22222222).
The spelling of 212102220101200 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty million, one hundred one thousand, two hundred".
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