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11221221011220 = 22325116838297633
BaseRepresentation
bin1010001101001010010011…
…1001000110111100010100
31110201201221012000102120100
42203102210321012330110
52432322030034324340
635510542513334100
72235464213562603
oct243224471067424
943651835012510
1011221221011220
1136369907a6a10
1213128b8267330
1363520608aaac
142ab177b7ba3a
15146d52b85830
hexa34a4e46f14

11221221011220 has 144 divisors (see below), whose sum is σ = 37186411010112. Its totient is φ = 2716312811520.

The previous prime is 11221221011219. The next prime is 11221221011243. The reversal of 11221221011220 is 2211012212211.

11221221011220 is a `hidden beast` number, since 1 + 1 + 221 + 2 + 210 + 11 + 220 = 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 = 11221221011193 and 11221221011202.

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, 2796477 + ... + 5501156.

It is an arithmetic number, because the mean of its divisors is an integer number (258238965348).

Almost surely, 211221221011220 is an apocalyptic number.

11221221011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221221011220 is an abundant number, since it is smaller than the sum of its proper divisors (25965189998892).

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

11221221011220 is a wasteful number, since it uses less digits than its factorization.

11221221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298342 (or 8298337 counting only the distinct ones).

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

Adding to 11221221011220 its reverse (2211012212211), we get a palindrome (13432233223431).

The spelling of 11221221011220 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 683 990 1366 1980 2049 2732 3415 4098 6147 6830 7513 8196 10245 12294 13660 15026 20490 22539 24588 30052 30735 37565 40980 45078 61470 67617 75130 90156 112695 122940 135234 150260 225390 270468 338085 450780 676170 1352340 8297633 16595266 24892899 33190532 41488165 49785798 74678697 82976330 91273963 99571596 124464495 149357394 165952660 182547926 248928990 273821889 298714788 365095852 373393485 456369815 497857980 547643778 746786970 821465667 912739630 1095287556 1369109445 1493573940 1642931334 1825479260 2738218890 3285862668 4107328335 5476437780 5667283339 8214656670 11334566678 16429313340 17001850017 22669133356 28336416695 34003700034 51005550051 56672833390 62340116729 68007400068 85009250085 102011100102 113345666780 124680233458 170018500170 187020350187 204022200204 249360466916 255027750255 311700583645 340037000340 374040700374 510055500510 561061050561 623401167290 748081400748 935101750935 1020111001020 1122122101122 1246802334580 1870203501870 2244244202244 2805305252805 3740407003740 5610610505610 11221221011220