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12221011202220 = 22325233779782029
BaseRepresentation
bin1011000111010110110100…
…0010000001000010101100
31121021022120021122110012200
42301311231002001002230
53100212112331432340
641554131031101500
72400640023151602
oct261655502010254
947238507573180
1012221011202220
1139919a124a237
12145461bb11890
136a8589a466a2
143037003ab872
15162d6aca6330
hexb1d6d0810ac

12221011202220 has 144 divisors (see below), whose sum is σ = 39727621402560. Its totient is φ = 3032993576448.

The previous prime is 12221011202173. The next prime is 12221011202263. The reversal of 12221011202220 is 2220211012221.

It is a happy number.

12221011202220 is a `hidden beast` number, since 1 + 22 + 210 + 11 + 202 + 220 = 666.

It is a super-2 number, since 2×122210112022202 (a number of 27 digits) contains 22 as substring.

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 = 12221011202193 and 12221011202202.

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, 39737835 + ... + 40044194.

It is an arithmetic number, because the mean of its divisors is an integer number (275886259740).

Almost surely, 212221011202220 is an apocalyptic number.

12221011202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221011202220 is an abundant number, since it is smaller than the sum of its proper divisors (27506610200340).

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

12221011202220 is a wasteful number, since it uses less digits than its factorization.

12221011202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79782104 (or 79782099 counting only the distinct ones).

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

Adding to 12221011202220 its reverse (2220211012221), we get a palindrome (14441222214441).

The spelling of 12221011202220 in words is "twelve trillion, two hundred twenty-one billion, eleven million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6660 7659 8510 10212 12765 15318 17020 25530 30636 38295 51060 76590 153180 79782029 159564058 239346087 319128116 398910145 478692174 718038261 797820290 957384348 1196730435 1436076522 1595640580 1834986667 2393460870 2872153044 2951935073 3590191305 3669973334 4786921740 5504960001 5903870146 7180382610 7339946668 8855805219 9174933335 11009920002 11807740292 14360765220 14759675365 16514880003 17711610438 18349866670 22019840004 26567415657 27524800005 29519350730 33029760006 35423220876 36699733340 44279026095 53134831314 55049600010 59038701460 66059520012 67894506679 82574400015 88558052190 106269662628 110099200020 132837078285 135789013358 165148800030 177116104380 203683520037 265674156570 271578026716 330297600060 339472533395 407367040074 531348313140 611050560111 678945066790 814734080148 1018417600185 1222101120222 1357890133580 2036835200370 2444202240444 3055252800555 4073670400740 6110505601110 12221011202220