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221200121201220 = 22325733582768403
BaseRepresentation
bin110010010010111000101010…
…101001100000001001000100
31002000012112011202212100000200
4302102320222221200021010
5212443120322011414340
62102241533254010500
764410116132256000
oct6222705251401104
91060175152770020
10221200121201220
1164532498819777
1220986095046a30
13965710acb51c5
143c8a200519700
151a88dc95a2330
hexc92e2aa60244

221200121201220 has 144 divisors (see below), whose sum is σ = 782476619433600. Its totient is φ = 50560027689024.

The previous prime is 221200121201203. The next prime is 221200121201243. The reversal of 221200121201220 is 22102121002122.

It is a happy number.

221200121201220 is a `hidden beast` number, since 2 + 2 + 120 + 0 + 121 + 201 + 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 = 221200121201193 and 221200121201202.

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, 1791322462 + ... + 1791445941.

Almost surely, 2221200121201220 is an apocalyptic number.

221200121201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200121201220 is an abundant number, since it is smaller than the sum of its proper divisors (561276498232380).

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

221200121201220 is a wasteful number, since it uses less digits than its factorization.

221200121201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582768439 (or 3582768420 counting only the distinct ones).

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

Adding to 221200121201220 its reverse (22102121002122), we get a palindrome (243302242203342).

The spelling of 221200121201220 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 3582768403 7165536806 10748305209 14331073612 17913842015 21496610418 25079378821 32244915627 35827684030 42993220836 50158757642 53741526045 64489831254 71655368060 75238136463 100317515284 107483052090 125396894105 128979662508 150476272926 161224578135 175555651747 214966104180 225714409389 250793788210 300952545852 322449156270 351111303494 376190682315 451428818778 501587576420 526666955241 644898312540 702222606988 752381364630 877778258735 902857637556 1053333910482 1128572046945 1228889562229 1504762729260 1580000865723 1755556517470 2106667820964 2257144093890 2457779124458 2633334776205 3160001731446 3511113034940 3686668686687 4514288187780 4915558248916 5266669552410 6144447811145 6320003462892 7373337373374 7900004328615 10533339104820 11060006060061 12288895622290 14746674746748 15800008657230 18433343433435 22120012120122 24577791244580 31600017314460 36866686866870 44240024240244 55300030300305 73733373733740 110600060600610 221200121201220