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22001121212220 = 22325361349516833
BaseRepresentation
bin1010000000010100010010…
…00000111011011100111100
32212220021201222001211122100
411000022021000323130330
510340431244012242340
6114443101530345100
74430346202461153
oct500121100733474
985807658054570
1022001121212220
1170126943a1197
122573b6ab8b190
13c37909c14b97
14560c079ac59a
152824764d9830
hex14028903b73c

22001121212220 has 144 divisors (see below), whose sum is σ = 66778460304192. Its totient is φ = 5863298918400.

The previous prime is 22001121212207. The next prime is 22001121212249. The reversal of 22001121212220 is 2221212110022.

It is a happy number.

22001121212220 is a `hidden beast` number, since 2 + 200 + 11 + 21 + 212 + 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 = 22001121212193 and 22001121212202.

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, 3219829924 + ... + 3219836756.

It is an arithmetic number, because the mean of its divisors is an integer number (463739307668).

Almost surely, 222001121212220 is an apocalyptic number.

22001121212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001121212220 is an abundant number, since it is smaller than the sum of its proper divisors (44777339091972).

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

22001121212220 is a wasteful number, since it uses less digits than its factorization.

22001121212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15412 (or 15407 counting only the distinct ones).

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

Adding to 22001121212220 its reverse (2221212110022), we get a palindrome (24222333322242).

The spelling of 22001121212220 in words is "twenty-two trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3613 4951 6833 7226 9902 10839 13666 14452 14853 18065 19804 20499 21678 24755 27332 29706 32517 34165 36130 40998 43356 44559 49510 54195 59412 61497 65034 68330 72260 74265 81996 89118 99020 102495 108390 122994 130068 136660 148530 162585 178236 204990 216780 222795 245988 297060 307485 325170 409980 445590 614970 650340 891180 1229940 17887963 24687629 33830183 35775926 49375258 53663889 67660366 71551852 74062887 89439815 98750516 101490549 107327778 123438145 135320732 148125774 160991667 169150915 178879630 202981098 214655556 222188661 246876290 268319445 296251548 304471647 321983334 338301830 357759260 370314435 405962196 444377322 493752580 507452745 536638890 608943294 643966668 676603660 740628870 804958335 888754644 1014905490 1073277780 1110943305 1217886588 1481257740 1522358235 1609916670 2029810980 2221886610 3044716470 3219833340 4443773220 6089432940 122228451179 244456902358 366685353537 488913804716 611142255895 733370707074 1100056060611 1222284511790 1466741414148 1833426767685 2200112121222 2444569023580 3666853535370 4400224242444 5500280303055 7333707070740 11000560606110 22001121212220