| Base | Representation |
|---|---|
| bin | 1100010110100101011… |
| … | …0111100011101100000 |
| 3 | 202021210001021211021210 |
| 4 | 3011221112330131200 |
| 5 | 11434112040120000 |
| 6 | 241254252550120 |
| 7 | 21222014622633 |
| oct | 3055126743540 |
| 9 | 667701254253 |
| 10 | 212221020000 |
| 11 | 82003262430 |
| 12 | 35168482340 |
| 13 | 170211ba762 |
| 14 | a3b31d3c1a |
| 15 | 57c1302350 |
| hex | 31695bc760 |
212221020000 has 240 divisors, whose sum is σ = 759414059712. Its totient is φ = 51447360000.
The previous prime is 212221019993. The next prime is 212221020001. The reversal of 212221020000 is 20122212.
212221020000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2122210200002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212221020001) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 499227 + ... + 820773.
Almost surely, 2212221020000 is an apocalyptic number.
212221020000 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 212221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379707029856).
212221020000 is an abundant number, since it is smaller than the sum of its proper divisors (547193039712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212221020000 is a wasteful number, since it uses less digits than its factorization.
212221020000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 321591 (or 321568 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 212221020000 its reverse (20122212), we get a palindrome (212241142212).
The spelling of 212221020000 in words is "two hundred twelve billion, two hundred twenty-one million, twenty thousand".
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