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12022120112100 = 2235279416083761
BaseRepresentation
bin1010111011110001111000…
…1100101101111111100100
31120120022012012222020002120
42232330132030231333210
53033432300222041400
641322515152505540
72350366225610160
oct256743614557744
946508165866076
1012022120112100
11391560942948a
121421b7384b2b0
136928b13a7807
142d7c336a7ca0
1515cac9d77ca0
hexaef1e32dfe4

12022120112100 has 144 divisors (see below), whose sum is σ = 39795396014976. Its totient is φ = 2744992512000.

The previous prime is 12022120112069. The next prime is 12022120112237. The reversal of 12022120112100 is 121102122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022120112100.

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, 1065781 + ... + 5017980.

Almost surely, 212022120112100 is an apocalyptic number.

12022120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022120112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897698007488).

12022120112100 is an abundant number, since it is smaller than the sum of its proper divisors (27773275902876).

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

12022120112100 is a wasteful number, since it uses less digits than its factorization.

12022120112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084726 (or 6084719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022120112100 its reverse (121102122021), we get a palindrome (12143222234121).

The spelling of 12022120112100 in words is "twelve trillion, twenty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 941 1050 1882 2100 2823 3764 4705 5646 6587 9410 11292 13174 14115 18820 19761 23525 26348 28230 32935 39522 47050 56460 65870 70575 79044 94100 98805 131740 141150 164675 197610 282300 329350 395220 494025 658700 988050 1976100 6083761 12167522 18251283 24335044 30418805 36502566 42586327 60837610 73005132 85172654 91256415 121675220 127758981 152094025 170345308 182512830 212931635 255517962 304188050 365025660 425863270 456282075 511035924 608376100 638794905 851726540 912564150 1064658175 1277589810 1825128300 2129316350 2555179620 3193974525 4258632700 5724819101 6387949050 11449638202 12775898100 17174457303 22899276404 28624095505 34348914606 40073733707 57248191010 68697829212 80147467414 85872286515 114496382020 120221201121 143120477525 160294934828 171744573030 200368668535 240442402242 286240955050 343489146060 400737337070 429361432575 480884804484 572481910100 601106005605 801474674140 858722865150 1001843342675 1202212011210 1717445730300 2003686685350 2404424022420 3005530028025 4007373370700 6011060056050 12022120112100