| Base | Representation |
|---|---|
| bin | 110000001101001001101101… |
| … | …010101111001000000100000 |
| 3 | 1000210122221220010111221211100 |
| 4 | 300031021231111321000200 |
| 5 | 210242033000042321344 |
| 6 | 2030524015403114400 |
| 7 | 62441134456052151 |
| oct | 6015115525710040 |
| 9 | 1023587803457740 |
| 10 | 212010010120224 |
| 11 | 61609a38694688 |
| 12 | 1b940b63512a00 |
| 13 | 913b5c57a0414 |
| 14 | 3a4d4a6c3b928 |
| 15 | 1979d00bbb569 |
| hex | c0d26d579020 |
212010010120224 has 288 divisors, whose sum is σ = 612042325038144. Its totient is φ = 69604215183360.
The previous prime is 212010010120199. The next prime is 212010010120297. The reversal of 212010010120224 is 422021010010212.
212010010120224 is a `hidden beast` number, since 212 + 0 + 100 + 10 + 120 + 224 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 212010010120197 and 212010010120206.
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 47 ways as a sum of consecutive naturals, for example, 20906218194 + ... + 20906228334.
It is an arithmetic number, because the mean of its divisors is an integer number (2125146961938).
Almost surely, 2212010010120224 is an apocalyptic number.
212010010120224 is a gapful number since it is divisible by the number (24) 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 212010010120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306021162519072).
212010010120224 is an abundant number, since it is smaller than the sum of its proper divisors (400032314917920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212010010120224 is a wasteful number, since it uses less digits than its factorization.
212010010120224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12840 (or 12829 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212010010120224 its reverse (422021010010212), we get a palindrome (634031020130436).
The spelling of 212010010120224 in words is "two hundred twelve trillion, ten billion, ten million, one hundred twenty thousand, two hundred twenty-four".
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