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11222121121212 = 22317192937162629
BaseRepresentation
bin1010001101001101101010…
…0010110000010110111100
31110201211020220201202100110
42203103122202300112330
52432330401001334322
635511212110030020
72235525423440151
oct243233242602674
943654226652313
1011222121121212
1136373028a3971
121312b097a8310
1363531a6c2561
142ab221526228
15146da6bd4c0c
hexa34da8b05bc

11222121121212 has 144 divisors (see below), whose sum is σ = 29292673606560. Its totient is φ = 3331787157504.

The previous prime is 11222121121207. The next prime is 11222121121261. The reversal of 11222121121212 is 21212112122211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68923114 + ... + 69085742.

It is an arithmetic number, because the mean of its divisors is an integer number (203421344490).

Almost surely, 211222121121212 is an apocalyptic number.

11222121121212 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 11222121121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646336803280).

11222121121212 is an abundant number, since it is smaller than the sum of its proper divisors (18070552485348).

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

11222121121212 is a wasteful number, since it uses less digits than its factorization.

11222121121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163628 (or 163607 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 11222121121212 its reverse (21212112122211), we get a palindrome (32434233243423).

The spelling of 11222121121212 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 361 646 722 937 969 1083 1292 1444 1874 1938 2166 2811 3748 3876 4332 5622 6137 11244 12274 15929 17803 18411 24548 31858 35606 36822 47787 53409 63716 71212 73644 95574 106818 162629 191148 213636 302651 325258 338257 487887 605302 650516 676514 907953 975774 1014771 1210604 1353028 1815906 1951548 2029542 2764693 3089951 3631812 4059084 5529386 5750369 6179902 8294079 9269853 11058772 11500738 12359804 16588158 17251107 18539706 23001476 33176316 34502214 37079412 52529167 58709069 69004428 105058334 117418138 152383373 157587501 176127207 210116668 234836276 304766746 315175002 352254414 457150119 609533492 630350004 704508828 914300238 998054173 1828600476 1996108346 2590517341 2895284087 2994162519 3992216692 5181034682 5790568174 5988325038 7771552023 8685852261 10362069364 11581136348 11976650076 15543104046 17371704522 31086208092 34743409044 49219829479 55010397653 98439658958 110020795306 147659488437 165031192959 196879317916 220041590612 295318976874 330062385918 590637953748 660124771836 935176760101 1870353520202 2805530280303 3740707040404 5611060560606 11222121121212