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12021020201120 = 255721790193729
BaseRepresentation
bin1010111011101101110010…
…1000111001000010100000
31120120012100120021221212212
42232323130220321002200
53033423022132413440
641322214101541252
72350330041534500
oct256733450710240
946505316257785
1012021020201120
1139150a4575047
121421907414828
13692767558508
142d7b6b58da00
1515ca6350d465
hexaeedca390a0

12021020201120 has 144 divisors (see below), whose sum is σ = 34979653918440. Its totient is φ = 3879051853824.

The previous prime is 12021020201089. The next prime is 12021020201191. The reversal of 12021020201120 is 2110202012021.

It can be written as a sum of positive squares in 4 ways, for example, as 8660236637584 + 3360783563536 = 2942828^2 + 1833244^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12021020201095 and 12021020201104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44963585 + ... + 45230144.

Almost surely, 212021020201120 is an apocalyptic number.

12021020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021020201120 is an abundant number, since it is smaller than the sum of its proper divisors (22958633717320).

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

12021020201120 is a wasteful number, since it uses less digits than its factorization.

12021020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90193775 (or 90193760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12021020201120 its reverse (2110202012021), we get a palindrome (14131222213141).

The spelling of 12021020201120 in words is "twelve trillion, twenty-one billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 136 140 160 170 196 224 238 245 272 280 340 392 476 490 544 560 595 680 784 833 952 980 1120 1190 1360 1568 1666 1904 1960 2380 2720 3332 3808 3920 4165 4760 6664 7840 8330 9520 13328 16660 19040 26656 33320 66640 133280 90193729 180387458 360774916 450968645 631356103 721549832 901937290 1262712206 1443099664 1533293393 1803874580 2525424412 2886199328 3066586786 3156780515 3607749160 4419492721 5050848824 6133173572 6313561030 7215498320 7666466965 8838985442 10101697648 10733053751 12266347144 12627122060 14430996640 15332933930 17677970884 20203395296 21466107502 22097463605 24532694288 25254244120 30665867860 35355941768 42932215004 44194927210 49065388576 50508488240 53665268755 61331735720 70711883536 75131376257 85864430008 88389854420 101016976480 107330537510 122663471440 141423767072 150262752514 171728860016 176779708840 214661075020 245326942880 300525505028 343457720032 353559417680 375656881285 429322150040 601051010056 707118835360 751313762570 858644300080 1202102020112 1502627525140 1717288600160 2404204040224 3005255050280 6010510100560 12021020201120