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11212012120212 = 22331039071111259
BaseRepresentation
bin1010001100100111111111…
…1111111110100010010100
31110200212011101212021222000
42203021333333332202110
52432144200100321322
635502421031035300
72235020053364061
oct243117777764224
943625141767860
1011212012120212
113632a955aa892
121310b6820bb30
1363439925c667
142aa942b0bc68
151469b44953ac
hexa327fffe894

11212012120212 has 96 divisors (see below), whose sum is σ = 29382781209600. Its totient is φ = 3696968674656.

The previous prime is 11212012120181. The next prime is 11212012120277. The reversal of 11212012120212 is 21202121021211.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9533839 + ... + 10645097.

It is an arithmetic number, because the mean of its divisors is an integer number (306070637600).

Almost surely, 211212012120212 is an apocalyptic number.

11212012120212 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 11212012120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691390604800).

11212012120212 is an abundant number, since it is smaller than the sum of its proper divisors (18170769089388).

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

11212012120212 is a wasteful number, since it uses less digits than its factorization.

11212012120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112282 (or 1112274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11212012120212 its reverse (21202121021211), we get a palindrome (32414133141423).

The spelling of 11212012120212 in words is "eleven trillion, two hundred twelve billion, twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 907 927 1236 1814 1854 2721 2781 3628 3708 5442 5562 8163 10884 11124 16326 24489 32652 48978 93421 97956 186842 280263 373684 560526 840789 1111259 1121052 1681578 2222518 2522367 3333777 3363156 4445036 5044734 6667554 10001331 10089468 13335108 20002662 30003993 40005324 60007986 114459677 120015972 228919354 343379031 457838708 686758062 1007911913 1030137093 1373516124 2015823826 2060274186 3023735739 3090411279 4031647652 4120548372 6047471478 6180822558 9071207217 12094942956 12361645116 18142414434 27213621651 36284828868 54427243302 103814927039 108854486604 207629854078 311444781117 415259708156 622889562234 934334343351 1245779124468 1868668686702 2803003030053 3737337373404 5606006060106 11212012120212