Search a number
-
+
212000120011212 = 223132373413827809
BaseRepresentation
bin110000001101000000011111…
…110110000111100111001100
31000210122000100212112100210120
4300031000133312013213030
5210241402221210324322
62030515302143504540
762440334414366121
oct6015003766074714
91023560325470716
10212000120011212
1161605822a07375
121b93b0632b8150
13913a6aa7aa800
143a4cc09522748
1519799227b8a5c
hexc0d01fd879cc

212000120011212 has 144 divisors (see below), whose sum is σ = 550284022018080. Its totient is φ = 63449138847744.

The previous prime is 212000120011181. The next prime is 212000120011289. The reversal of 212000120011212 is 212110021000212.

It is a junction number, because it is equal to n+sod(n) for n = 212000120011191 and 212000120011200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255683964 + ... + 256511772.

It is an arithmetic number, because the mean of its divisors is an integer number (3821416819570).

Almost surely, 2212000120011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000120011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275142011009040).

212000120011212 is an abundant number, since it is smaller than the sum of its proper divisors (338283902006868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212000120011212 is a wasteful number, since it uses less digits than its factorization.

212000120011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831292 (or 831277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212000120011212 its reverse (212110021000212), we get a palindrome (424110141011424).

The spelling of 212000120011212 in words is "two hundred twelve trillion, one hundred twenty million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 169 222 338 444 481 507 676 962 1014 1443 1924 2028 2886 3413 5772 6253 6826 10239 12506 13652 18759 20478 25012 37518 40956 44369 75036 88738 126281 133107 177476 252562 266214 378843 505124 532428 576797 757686 827809 1153594 1515372 1641653 1655618 1730391 2307188 2483427 3283306 3311236 3460782 4924959 4966854 6566612 6921564 9849918 9933708 10761517 19699836 21341489 21523034 30628933 32284551 42682978 43046068 61257866 64024467 64569102 85365956 91886799 122515732 128048934 129138204 139899721 183773598 256097868 279799442 367547196 398176129 419699163 559598884 796352258 839398326 1194528387 1592704516 1678796652 2389056774 2825312117 4778113548 5176289677 5650624234 8475936351 10352579354 11301248468 15528869031 16951872702 20705158708 31057738062 33903745404 36729057521 62115476124 73458115042 104536548329 110187172563 146916230084 209073096658 220374345126 313609644987 418146193316 440748690252 477477747773 627219289974 954955495546 1254438579948 1358975128277 1432433243319 1909910991092 2717950256554 2864866486638 4076925384831 5435900513108 5729732973276 8153850769662 16307701539324 17666676667601 35333353335202 53000030002803 70666706670404 106000060005606 212000120011212