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21221122020012 = 223219731373102193
BaseRepresentation
bin1001101001100111011010…
…11100001001001010101100
32210010201102110222101222200
410310303231130021022230
510240141324214120022
6113044503204541500
74320114120646125
oct464635534111254
983121373871880
1021221122020012
116841911168412
1224689669b1890
13bac1b2866a25
14535171a9d04c
1526c024072bac
hex134ced7092ac

21221122020012 has 144 divisors (see below), whose sum is σ = 57656881332960. Its totient is φ = 6561359437824.

The previous prime is 21221122019971. The next prime is 21221122020019. The reversal of 21221122020012 is 21002022112212.

It is a happy number.

21221122020012 is a `hidden beast` number, since 21 + 2 + 211 + 220 + 200 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21221122020019) 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, 5289588 + ... + 8391780.

Almost surely, 221221122020012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221122020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828440666480).

21221122020012 is an abundant number, since it is smaller than the sum of its proper divisors (36435759312948).

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

21221122020012 is a wasteful number, since it uses less digits than its factorization.

21221122020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102432 (or 3102427 counting only the distinct ones).

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

Adding to 21221122020012 its reverse (21002022112212), we get a palindrome (42223144132224).

The spelling of 21221122020012 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 137 146 171 219 228 274 292 342 411 438 548 657 684 822 876 1233 1314 1387 1644 2466 2603 2628 2774 4161 4932 5206 5548 7809 8322 10001 10412 12483 15618 16644 20002 23427 24966 30003 31236 40004 46854 49932 60006 90009 93708 120012 180018 190019 360036 380038 570057 760076 1140114 1710171 2280228 3102193 3420342 6204386 6840684 9306579 12408772 18613158 27919737 37226316 55839474 58941667 111678948 117883334 176825001 226460089 235766668 353650002 425000441 452920178 530475003 679380267 707300004 850000882 905840356 1060950006 1275001323 1358760534 1700001764 2038140801 2121900012 2550002646 2717521068 3825003969 4076281602 4302741691 5100005292 7650007938 8075008379 8152563204 8605483382 12908225073 15300015876 16150016758 17210966764 24225025137 25816450146 31025032193 32300033516 38724675219 48450050274 51632900292 62050064386 72675075411 77449350438 93075096579 96900100548 124100128772 145350150822 154898700876 186150193158 279225289737 290700301644 372300386316 558450579474 589475611667 1116901158948 1178951223334 1768426835001 2357902446668 3536853670002 5305280505003 7073707340004 10610561010006 21221122020012