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12201122020212 = 2235109641179659
BaseRepresentation
bin1011000110001100101110…
…0010110011101101110100
31121012102020011122022200000
42301203023202303231310
53044400344214121322
641541041300551300
72366334114664326
oct261431342635564
947172204568600
1012201122020212
113984515330434
1214507ab0b2530
136a673a2cc538
14302774ad1616
151625a4b2a3ac
hexb18cb8b3b74

12201122020212 has 144 divisors (see below), whose sum is σ = 32327977281600. Its totient is φ = 4023419351040.

The previous prime is 12201122020189. The next prime is 12201122020223. The reversal of 12201122020212 is 21202022110221.

It is a happy number.

12201122020212 is a `hidden beast` number, since 1 + 220 + 11 + 220 + 2 + 0 + 212 = 666.

It is a super-2 number, since 2×122011220202122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 67822839 + ... + 68002497.

Almost surely, 212201122020212 is an apocalyptic number.

12201122020212 is a gapful number since it is divisible by the number (12) 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 12201122020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163988640800).

12201122020212 is an abundant number, since it is smaller than the sum of its proper divisors (20126855261388).

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

12201122020212 is a wasteful number, since it uses less digits than its factorization.

12201122020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180428 (or 180414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201122020212 its reverse (21202022110221), we get a palindrome (33403144130433).

Subtracting 12201122020212 from its reverse (21202022110221), we obtain a palindrome (9000900090009).

The spelling of 12201122020212 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 641 654 972 981 1282 1308 1923 1962 2564 2943 3846 3924 5769 5886 7692 8829 11538 11772 17307 17658 23076 26487 34614 35316 51921 52974 69228 69869 103842 105948 139738 155763 179659 207684 209607 279476 311526 359318 419214 538977 623052 628821 718636 838428 1077954 1257642 1616931 1886463 2155908 2515284 3233862 3772926 4850793 5659389 6467724 7545852 9701586 11318778 14552379 16978167 19403172 19582831 22637556 29104758 33956334 39165662 43657137 58209516 58748493 67912668 78331324 87314274 115161419 117496986 174628548 176245479 230322838 234993972 345484257 352490958 460645676 528736437 690968514 704981916 1036452771 1057472874 1381937028 1586209311 2072905542 2114945748 3109358313 3172418622 4145811084 4758627933 6218716626 6344837244 9328074939 9517255866 12437433252 12552594671 18656149878 19034511732 25105189342 27984224817 37312299756 37657784013 50210378684 55968449634 75315568026 111936899268 112973352039 150631136052 225946704078 338920056117 451893408156 677840112234 1016760168351 1355680224468 2033520336702 3050280505053 4067040673404 6100561010106 12201122020212