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11212220111112 = 23323711337245941
BaseRepresentation
bin1010001100101000110001…
…1001011001100100001000
31110200212200220020022211200
42203022030121121210020
52432200111322023422
635502453421024200
72235025160312406
oct243121431314410
943625626208750
1011212220111112
113633091a50499
1213110059b5060
13634400383bb7
142aa9625b0476
151469c787c2ac
hexa328c659908

11212220111112 has 96 divisors (see below), whose sum is σ = 31463137045080. Its totient is φ = 3604215121920.

The previous prime is 11212220111089. The next prime is 11212220111119. The reversal of 11212220111112 is 21111102221211.

It is a happy number.

11212220111112 is a `hidden beast` number, since 11 + 212 + 220 + 111 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5464626223716 + 5747593887396 = 2337654^2 + 2397414^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11212220111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18321939 + ... + 18924002.

Almost surely, 211212220111112 is an apocalyptic number.

11212220111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212220111112 is an abundant number, since it is smaller than the sum of its proper divisors (20250916933968).

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

11212220111112 is a wasteful number, since it uses less digits than its factorization.

11212220111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37246103 (or 37246096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11212220111112 its reverse (21111102221211), we get a palindrome (32323322332323).

The spelling of 11212220111112 in words is "eleven trillion, two hundred twelve billion, two hundred twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 113 148 222 226 296 333 339 444 452 666 678 888 904 1017 1332 1356 2034 2664 2712 4068 4181 8136 8362 12543 16724 25086 33448 37629 50172 75258 100344 150516 301032 37245941 74491882 111737823 148983764 223475646 297967528 335213469 446951292 670426938 893902584 1340853876 1378099817 2681707752 2756199634 4134299451 4208791333 5512399268 8268598902 8417582666 11024798536 12402898353 12626373999 16537197804 16835165332 24805796706 25252747998 33074395608 33670330664 37879121997 49611593412 50505495996 75758243994 99223186824 101010991992 151516487988 155725279321 303032975976 311450558642 467175837963 622901117284 934351675926 1245802234568 1401527513889 1868703351852 2803055027778 3737406703704 5606110055556 11212220111112