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12021021122220 = 223251126172319917
BaseRepresentation
bin1010111011101101110010…
…1100011001111010101100
31120120012100122000202101200
42232323130230121322230
53033423022401402340
641322214133405500
72350330052422065
oct256733454317254
946505318022350
1012021021122220
1139150a5044090
121421907799890
136927677bb846
142d7b6b74d56c
1515ca63641330
hexaeedcb19eac

12021021122220 has 144 divisors (see below), whose sum is σ = 39793868962848. Its totient is φ = 2913072122880.

The previous prime is 12021021122219. The next prime is 12021021122269. The reversal of 12021021122220 is 2222112012021.

It is a happy number.

12021021122220 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 211 + 22 + 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 = 12021021122193 and 12021021122202.

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, 4021702 + ... + 6341618.

It is an arithmetic number, because the mean of its divisors is an integer number (276346312242).

Almost surely, 212021021122220 is an apocalyptic number.

12021021122220 is a gapful number since it is divisible by the number (10) 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 12021021122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896934481424).

12021021122220 is an abundant number, since it is smaller than the sum of its proper divisors (27772847840628).

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

12021021122220 is a wasteful number, since it uses less digits than its factorization.

12021021122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322560 (or 2322555 counting only the distinct ones).

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

Adding to 12021021122220 its reverse (2222112012021), we get a palindrome (14243133134241).

The spelling of 12021021122220 in words is "twelve trillion, twenty-one billion, twenty-one million, one hundred twenty-two 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 99 110 132 165 180 198 220 330 396 495 660 990 1980 2617 5234 7851 10468 13085 15702 23553 26170 28787 31404 39255 47106 52340 57574 78510 86361 94212 115148 117765 143935 157020 172722 235530 259083 287870 345444 431805 471060 518166 575740 863610 1036332 1295415 1727220 2319917 2590830 4639834 5181660 6959751 9279668 11599585 13919502 20879253 23199170 25519087 27839004 34798755 41758506 46398340 51038174 69597510 76557261 83517012 102076348 104396265 127595435 139195020 153114522 208792530 229671783 255190870 306229044 382786305 417585060 459343566 510381740 765572610 918687132 1148358915 1531145220 2296717830 4593435660 6071222789 12142445578 18213668367 24284891156 30356113945 36427336734 54641005101 60712227890 66783450679 72854673468 91068341835 109282010202 121424455780 133566901358 182136683670 200350352037 218564020404 267133802716 273205025505 333917253395 364273367340 400700704074 546410051010 601051056111 667834506790 801401408148 1001751760185 1092820102020 1202102112222 1335669013580 2003503520370 2404204224444 3005255280555 4007007040740 6010510561110 12021021122220