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11220120122220 = 22325863352720479
BaseRepresentation
bin1010001101000110001101…
…0001100011001101101100
31110201122002110111110202200
42203101203101203031230
52432312301222402340
635510241345421500
72235425015304642
oct243214321431554
943648073443680
1011220120122220
113636476334799
12131264b63a890
1363508bc88599
142ab0b188b192
15146cdb1c6330
hexa346346336c

11220120122220 has 144 divisors (see below), whose sum is σ = 34085126799360. Its totient is φ = 2987571788928.

The previous prime is 11220120122213. The next prime is 11220120122327. The reversal of 11220120122220 is 2222102102211.

It is a happy number.

11220120122220 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 201 + 22 + 220 = 666.

It is a super-2 number, since 2×112201201222202 (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 = 11220120122193 and 11220120122202.

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, 547873941 + ... + 547894419.

It is an arithmetic number, because the mean of its divisors is an integer number (236702269440).

Almost surely, 211220120122220 is an apocalyptic number.

11220120122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220120122220 is an abundant number, since it is smaller than the sum of its proper divisors (22865006677140).

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

11220120122220 is a wasteful number, since it uses less digits than its factorization.

11220120122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884 (or 24879 counting only the distinct ones).

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

Adding to 11220120122220 its reverse (2222102102211), we get a palindrome (13442222224431).

The spelling of 11220120122220 in words is "eleven trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 863 1726 2589 3452 3527 4315 5178 7054 7767 8630 10356 10581 12945 14108 15534 17260 17635 20479 21162 25890 31068 31743 35270 38835 40958 42324 51780 52905 61437 63486 70540 77670 81916 102395 105810 122874 126972 155340 158715 184311 204790 211620 245748 307185 317430 368622 409580 614370 634860 737244 921555 1228740 1843110 3043801 3686220 6087602 9131403 12175204 15219005 17673377 18262806 27394209 30438010 35346754 36525612 45657015 53020131 54788418 60876020 70693508 72229433 88366885 91314030 106040262 109576836 136971045 144458866 159060393 176733770 182628060 212080524 216688299 265100655 273942090 288917732 318120786 353467540 361147165 433376598 530201310 547884180 636241572 650064897 722294330 795301965 866753196 1060402620 1083441495 1300129794 1444588660 1590603930 2166882990 2600259588 3181207860 3250324485 4333765980 6500648970 13001297940 62334000679 124668001358 187002002037 249336002716 311670003395 374004004074 561006006111 623340006790 748008008148 935010010185 1122012012222 1246680013580 1870020020370 2244024024444 2805030030555 3740040040740 5610060061110 11220120122220