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21222110201220 = 22325438233331561
BaseRepresentation
bin1001101001101001010000…
…10101110000010110000100
32210010210222100102012202200
410310310220111300112010
510240200340202414340
6113045145225034500
74320150450233655
oct464645025602604
983123870365680
1021222110201220
116842278a495a5
122468ba1925a30
13bac30c4c6536
1453522701152c
1526c080bbc330
hex134d28570584

21222110201220 has 144 divisors (see below), whose sum is σ = 65950855082112. Its totient is φ = 5520901317120.

The previous prime is 21222110201207. The next prime is 21222110201221. The reversal of 21222110201220 is 2210201122212.

It is a happy number.

21222110201220 is a `hidden beast` number, since 2 + 12 + 221 + 10 + 201 + 220 = 666.

It is a super-2 number, since 2×212221102012202 (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 = 21222110201193 and 21222110201202.

It is not an unprimeable number, because it can be changed into a prime (21222110201221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4704240 + ... + 8035800.

Almost surely, 221222110201220 is an apocalyptic number.

21222110201220 is a gapful number since it is divisible by the number (20) 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 21222110201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32975427541056).

21222110201220 is an abundant number, since it is smaller than the sum of its proper divisors (44728744880892).

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

21222110201220 is a wasteful number, since it uses less digits than its factorization.

21222110201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332442 (or 3332437 counting only the distinct ones).

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

Adding to 21222110201220 its reverse (2210201122212), we get a palindrome (23432311323432).

The spelling of 21222110201220 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 823 860 1290 1548 1646 1935 2469 2580 3292 3870 4115 4938 7407 7740 8230 9876 12345 14814 16460 24690 29628 35389 37035 49380 70778 74070 106167 141556 148140 176945 212334 318501 353890 424668 530835 637002 707780 1061670 1274004 1592505 2123340 3185010 3331561 6370020 6663122 9994683 13326244 16657805 19989366 29984049 33315610 39978732 49973415 59968098 66631220 99946830 119936196 143257123 149920245 199893660 286514246 299840490 429771369 573028492 599680980 716285615 859542738 1289314107 1432571230 1719085476 2148856845 2578628214 2741874703 2865142460 4297713690 5157256428 5483749406 6446570535 8225624109 8595427380 10967498812 12893141070 13709373515 16451248218 24676872327 25786282140 27418747030 32902496436 41128120545 49353744654 54837494060 82256241090 98707489308 117900612229 123384361635 164512482180 235801224458 246768723270 353701836687 471602448916 493537446540 589503061145 707403673374 1061105510061 1179006122290 1414807346748 1768509183435 2122211020122 2358012244580 3537018366870 4244422040244 5305527550305 7074036733740 10611055100610 21222110201220