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212201211200022 = 232112661239961441
BaseRepresentation
bin110000001111111011110001…
…110100001000001000010110
31000211100020102021002011221100
4300033323301310020020112
5210303201040031400042
62031151520213530530
762461013555320452
oct6017736164101026
91024306367064840
10212201211200022
1161683034714900
121b972024343a46
139153646bb3c25
143a588444cb662
15197ec9193324c
hexc0fef1d08216

212201211200022 has 144 divisors (see below), whose sum is σ = 506350010275200. Its totient is φ = 64178307072000.

The previous prime is 212201211200009. The next prime is 212201211200047. The reversal of 212201211200022 is 220002112102212.

It is a happy number.

212201211200022 is a `hidden beast` number, since 212 + 20 + 1 + 211 + 200 + 0 + 22 = 666.

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 = 212201211199968 and 212201211200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3453708822 + ... + 3453770262.

It is an arithmetic number, because the mean of its divisors is an integer number (3516319515800).

Almost surely, 2212201211200022 is an apocalyptic number.

212201211200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201211200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253175005137600).

212201211200022 is an abundant number, since it is smaller than the sum of its proper divisors (294148799075178).

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

212201211200022 is a wasteful number, since it uses less digits than its factorization.

212201211200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64531 (or 64517 counting only the distinct ones).

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

Adding to 212201211200022 its reverse (220002112102212), we get a palindrome (432203323302234).

The spelling of 212201211200022 in words is "two hundred twelve trillion, two hundred one billion, two hundred eleven million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 661 726 1089 1322 1983 2178 2399 3966 4798 5949 7197 7271 11898 14394 14542 21591 21813 26389 43182 43626 52778 61441 65439 79167 79981 122882 130878 158334 159962 184323 237501 239943 290279 368646 475002 479886 552969 580558 675851 719829 870837 1105938 1351702 1439658 1585739 1741674 2027553 2612511 3171478 4055106 4757217 5225022 6082659 7434361 9514434 12165318 14271651 14868722 17443129 22303083 28543302 34886258 40612501 44606166 52329387 66909249 81225002 104658774 121837503 133818498 147396959 156988161 191874419 243675006 294793918 313976322 365512509 383748838 442190877 446737511 575623257 731025018 884381754 893475022 1151246514 1326572631 1340212533 1621366549 1726869771 2653145262 2680425066 3242733098 3453739542 4020637599 4864099647 4914112621 8041275198 9728199294 9828225242 14592298941 14742337863 17835032039 29184597882 29484675726 35670064078 44227013589 53505096117 88454027178 97429389899 107010192234 160515288351 194858779798 292288169697 321030576702 584576339394 876864509091 1071723288889 1753729018182 2143446577778 3215169866667 6430339733334 9645509600001 11788956177779 19291019200002 23577912355558 35366868533337 70733737066674 106100605600011 212201211200022