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12201000120120 = 2335743337790701
BaseRepresentation
bin1011000110001100010001…
…0001110010111100111000
31121012101220200021011011210
42301203010101302330320
53044400122012320440
641541021224123120
72366331104600430
oct261430421627470
947171820234153
1012201000120120
113984462541059
1214507763064a0
136a671ac8b7c6
1430276283d2c0
1516259909ba80
hexb18c4472f38

12201000120120 has 128 divisors (see below), whose sum is σ = 42804837757440. Its totient is φ = 2723944204800.

The previous prime is 12201000120091. The next prime is 12201000120137. The reversal of 12201000120120 is 2102100010221.

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 = 12201000120096 and 12201000120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168859231 + ... + 168931470.

It is an arithmetic number, because the mean of its divisors is an integer number (334412794980).

Almost surely, 212201000120120 is an apocalyptic number.

12201000120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201000120120 is an abundant number, since it is smaller than the sum of its proper divisors (30603837637320).

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

12201000120120 is a wasteful number, since it uses less digits than its factorization.

12201000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337790765 (or 337790761 counting only the distinct ones).

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

Adding to 12201000120120 its reverse (2102100010221), we get a palindrome (14303100130341).

The spelling of 12201000120120 in words is "twelve trillion, two hundred one billion, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 18060 36120 337790701 675581402 1013372103 1351162804 1688953505 2026744206 2364534907 2702325608 3377907010 4053488412 4729069814 5066860515 6755814020 7093604721 8106976824 9458139628 10133721030 11822674535 13511628040 14187209442 14525000143 18916279256 20267442060 23645349070 28374418884 29050000286 35468023605 40534884120 43575000429 47290698140 56748837768 58100000572 70936047210 72625000715 87150000858 94581396280 101675001001 116200001144 141872094420 145250001430 174300001716 203350002002 217875002145 283744188840 290500002860 305025003003 348600003432 406700004004 435750004290 508375005005 581000005720 610050006006 813400008008 871500008580 1016750010010 1220100012012 1525125015015 1743000017160 2033500020020 2440200024024 3050250030030 4067000040040 6100500060060 12201000120120