| Base | Representation |
|---|---|
| bin | 1100010110100011010… |
| … | …1010110000111110100 |
| 3 | 202021202102201100021102 |
| 4 | 3011220311112013310 |
| 5 | 11434102311242322 |
| 6 | 241253340105232 |
| 7 | 21221550020150 |
| oct | 3055065260764 |
| 9 | 667672640242 |
| 10 | 212212212212 |
| 11 | 81aa9296a70 |
| 12 | 35165535218 |
| 13 | 1701c425750 |
| 14 | a3b1d80060 |
| 15 | 57c0662792 |
| hex | 3168d561f4 |
212212212212 has 192 divisors, whose sum is σ = 513114352128. Its totient is φ = 74131200000.
The previous prime is 212212212101. The next prime is 212212212259.
212212212212 is nontrivially palindromic in base 10.
212212212212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
212212212212 is a modest number, since divided by 212212212 gives 212 as remainder.
It is a congruent number.
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, 21428462 + ... + 21438362.
It is an arithmetic number, because the mean of its divisors is an integer number (2672470584).
Almost surely, 2212212212212 is an apocalyptic number.
212212212212 is a gapful number since it is divisible by the number (22) 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 212212212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256557176064).
212212212212 is an abundant number, since it is smaller than the sum of its proper divisors (300902139916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212212212212 is a wasteful number, since it uses less digits than its factorization.
212212212212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10090 (or 10088 counting only the distinct ones).
The product of its digits is 256, while the sum is 20.
It can be divided in two parts, 212212212 and 212, that multiplied together give a palindrome (44988988944).
The spelling of 212212212212 in words is "two hundred twelve billion, two hundred twelve million, two hundred twelve thousand, two hundred twelve".
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