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12201012212220 = 22325138216350923
BaseRepresentation
bin1011000110001100010011…
…1111111011000111111100
31121012101221112000111102100
42301203010333323013330
53044400133111242340
641541022335225100
72366331312432366
oct261430477730774
947171845014370
1012201012212220
113984469350027
12145077a378190
136a67206336b0
143027642a9d36
1516259a189830
hexb18c4ffb1fc

12201012212220 has 144 divisors (see below), whose sum is σ = 39905192632032. Its totient is φ = 2999667479040.

The previous prime is 12201012212203. The next prime is 12201012212231. The reversal of 12201012212220 is 2221221010221.

It is a happy number.

12201012212220 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 1 + 221 + 2 + 220 = 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 = 12201012212193 and 12201012212202.

It is a congruent number.

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, 1254322 + ... + 5096601.

It is an arithmetic number, because the mean of its divisors is an integer number (277119393278).

Almost surely, 212201012212220 is an apocalyptic number.

12201012212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201012212220 is an abundant number, since it is smaller than the sum of its proper divisors (27704180419812).

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

12201012212220 is a wasteful number, since it uses less digits than its factorization.

12201012212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351772 (or 6351767 counting only the distinct ones).

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

Adding to 12201012212220 its reverse (2221221010221), we get a palindrome (14422233222441).

The spelling of 12201012212220 in words is "twelve trillion, two hundred one billion, twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 821 1170 1642 2340 2463 3284 4105 4926 7389 8210 9852 10673 12315 14778 16420 21346 24630 29556 32019 36945 42692 49260 53365 64038 73890 96057 106730 128076 147780 160095 192114 213460 320190 384228 480285 640380 960570 1921140 6350923 12701846 19052769 25403692 31754615 38105538 57158307 63509230 76211076 82561999 95263845 114316614 127018460 165123998 190527690 228633228 247685997 285791535 330247996 381055380 412809995 495371994 571583070 743057991 825619990 990743988 1143166140 1238429985 1486115982 1651239980 2476859970 2972231964 3715289955 4953719940 5214107783 7430579910 10428215566 14861159820 15642323349 20856431132 26070538915 31284646698 46926970047 52141077830 62569293396 67783401179 78211616745 93853940094 104282155660 135566802358 156423233490 187707880188 203350203537 234634850235 271133604716 312846466980 338917005895 406700407074 469269700470 610050610611 677834011790 813400814148 938539400940 1016751017685 1220101221222 1355668023580 2033502035370 2440202442444 3050253053055 4067004070740 6100506106110 12201012212220