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12110001000120 = 2333515174258039
BaseRepresentation
bin1011000000111001010001…
…0011101100111010111000
31120212201000210100220002000
42300032110103230322320
53041402240224000440
641431131353141000
72356630054046532
oct260162423547270
946781023326060
1012110001000120
113949905948361
121436bba9ba760
1369ac78179a7a
142dc1acd82852
15160020164730
hexb03944eceb8

12110001000120 has 128 divisors (see below), whose sum is σ = 40633999488000. Its totient is φ = 3207947241600.

The previous prime is 12110001000043. The next prime is 12110001000127. The reversal of 12110001000120 is 2100010001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110001000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36965940 + ... + 37292099.

It is an arithmetic number, because the mean of its divisors is an integer number (317453121000).

Almost surely, 212110001000120 is an apocalyptic number.

12110001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110001000120 is an abundant number, since it is smaller than the sum of its proper divisors (28523998487880).

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

12110001000120 is a wasteful number, since it uses less digits than its factorization.

12110001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74258210 (or 74258200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110001000120 its reverse (2100010001121), we get a palindrome (14210011001241).

The spelling of 12110001000120 in words is "twelve trillion, one hundred ten billion, one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 151 180 216 270 302 360 453 540 604 755 906 1080 1208 1359 1510 1812 2265 2718 3020 3624 4077 4530 5436 6040 6795 8154 9060 10872 13590 16308 18120 20385 27180 32616 40770 54360 81540 163080 74258039 148516078 222774117 297032156 371290195 445548234 594064312 668322351 742580390 891096468 1113870585 1336644702 1485160780 1782192936 2004967053 2227741170 2673289404 2970321560 3341611755 4009934106 4455482340 5346578808 6683223510 8019868212 8910964680 10024835265 11212963889 13366447020 16039736424 20049670530 22425927778 26732894040 33638891667 40099341060 44851855556 56064819445 67277783334 80198682120 89703711112 100916675001 112129638890 134555566668 168194458335 201833350002 224259277780 269111133336 302750025003 336388916670 403666700004 448518555560 504583375005 605500050006 672777833340 807333400008 1009166750010 1211000100012 1345555666680 1513750125015 2018333500020 2422000200024 3027500250030 4036667000040 6055000500060 12110001000120