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120112102202022 = 232724118231821997
BaseRepresentation
bin11011010011110111000111…
…001011110101101010100110
3120202021121022220211221100200
4123103313013023311222212
5111220404041130431042
61103242423224051330
734204545602162400
oct3323670713655246
9522247286757320
10120112102202022
11352a9290416867
121157a644003b46
1352036a4305aa8
142193657513b70
15dd45d109cc4c
hex6d3dc72f5aa6

120112102202022 has 144 divisors (see below), whose sum is σ = 310285501448832. Its totient is φ = 33462341256960.

The previous prime is 120112102202017. The next prime is 120112102202041. The reversal of 120112102202022 is 220202201211021.

It is a happy number.

120112102202022 is a `hidden beast` number, since 1 + 20 + 11 + 210 + 220 + 202 + 2 = 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 = 120112102201986 and 120112102202004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65012328 + ... + 66834324.

It is an arithmetic number, because the mean of its divisors is an integer number (2154760426728).

Almost surely, 2120112102202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112102202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155142750724416).

120112102202022 is an abundant number, since it is smaller than the sum of its proper divisors (190173399246810).

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

120112102202022 is a wasteful number, since it uses less digits than its factorization.

120112102202022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823883 (or 1823873 counting only the distinct ones).

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

Adding to 120112102202022 its reverse (220202201211021), we get a palindrome (340314303413043).

The spelling of 120112102202022 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred two million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 1823 2009 2583 3646 4018 5166 5469 6027 10938 12054 12761 16407 18081 25522 32814 36162 38283 74743 76566 89327 114849 149486 178654 224229 229698 267981 448458 523201 535962 672687 803943 1046402 1345374 1569603 1607886 1821997 3139206 3643994 3662407 4708809 5465991 7324814 9417618 10931982 10987221 12753979 16397973 21974442 25507958 32795946 32961663 38261937 65923326 74701877 76523874 89277853 114785811 149403754 178555706 224105631 229571622 267833559 448211262 522913139 535667118 672316893 803500677 1045826278 1344633786 1568739417 1607001354 3137478834 3321500531 3660391973 4706218251 6643001062 7320783946 9412436502 9964501593 10981175919 19929003186 21962351838 23250503717 29893504779 32943527757 46501007434 59787009558 65887055514 69751511151 136181521771 139503022302 162753526019 209254533453 272363043542 325507052038 408544565313 418509066906 488260578057 817089130626 953270652397 976521156114 1225633695939 1464781734171 1906541304794 2451267391878 2859811957191 2929563468342 5719623914382 6672894566779 8579435871573 13345789133558 17158871743146 20018683700337 40037367400674 60056051101011 120112102202022