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120020111000220 = 223519263400307221
BaseRepresentation
bin11011010010100001011100…
…000101010000001010011100
3120201221210212220011200212110
4123102201130011100022130
5111212402141404001340
61103132251113234020
734165111143646644
oct3322413405201234
9521853786150773
10120020111000220
1135273274818352
1211564850402910
1351c7b03ac9cc2
14218d00bdab524
15dd1ee9eea680
hex6d285c15029c

120020111000220 has 96 divisors (see below), whose sum is σ = 355088518202880. Its totient is φ = 30205581592320.

The previous prime is 120020111000117. The next prime is 120020111000287. The reversal of 120020111000220 is 22000111020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120020111000196 and 120020111000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199853791 + ... + 200453430.

It is an arithmetic number, because the mean of its divisors is an integer number (3698838731280).

Almost surely, 2120020111000220 is an apocalyptic number.

120020111000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020111000220 is an abundant number, since it is smaller than the sum of its proper divisors (235068407202660).

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

120020111000220 is a wasteful number, since it uses less digits than its factorization.

120020111000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400307515 (or 400307513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120020111000220 its reverse (22000111020021), we get a palindrome (142020222020241).

The spelling of 120020111000220 in words is "one hundred twenty trillion, twenty billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 263 285 380 526 570 789 1052 1140 1315 1578 2630 3156 3945 4997 5260 7890 9994 14991 15780 19988 24985 29982 49970 59964 74955 99940 149910 299820 400307221 800614442 1200921663 1601228884 2001536105 2401843326 4003072210 4803686652 6004608315 7605837199 8006144420 12009216630 15211674398 22817511597 24018433260 30423348796 38029185995 45635023194 76058371990 91270046388 105280799123 114087557985 152116743980 210561598246 228175115970 315842397369 421123196492 456350231940 526403995615 631684794738 1052807991230 1263369589476 1579211986845 2000335183337 2105615982460 3158423973690 4000670366674 6001005550011 6316847947380 8001340733348 10001675916685 12002011100022 20003351833370 24004022200044 30005027750055 40006703666740 60010055500110 120020111000220