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12011213010120 = 23352691599123269
BaseRepresentation
bin1010111011001001010000…
…0101011011010011001000
31120112021001002100000222120
42232302110011123103020
53033242431012310440
641313513003451240
72346532025020062
oct256622405332310
946467032300876
1012011213010120
113910a21681315
12141ba2ab26b20
136918637a820c
142d74bac9a732
1515c68c538dd0
hexaec9415b4c8

12011213010120 has 128 divisors (see below), whose sum is σ = 36171409248000. Its totient is φ = 3190746424320.

The previous prime is 12011213010113. The next prime is 12011213010131. The reversal of 12011213010120 is 2101031211021.

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 12011213010120.

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, 516177846 + ... + 516201114.

It is an arithmetic number, because the mean of its divisors is an integer number (282589134750).

Almost surely, 212011213010120 is an apocalyptic number.

12011213010120 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 12011213010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18085704624000).

12011213010120 is an abundant number, since it is smaller than the sum of its proper divisors (24160196237880).

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

12011213010120 is a wasteful number, since it uses less digits than its factorization.

12011213010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39543 (or 39539 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12011213010120 its reverse (2101031211021), we get a palindrome (14112244221141).

The spelling of 12011213010120 in words is "twelve trillion, eleven billion, two hundred thirteen million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 15991 16140 23269 31982 32280 46538 47973 63964 69807 79955 93076 95946 116345 127928 139614 159910 186152 191892 232690 239865 279228 319820 349035 383784 465380 479730 558456 639640 698070 930760 959460 1396140 1918920 2792280 4301579 6259361 8603158 12518722 12904737 17206316 18778083 21507895 25037444 25809474 31296805 34412632 37556166 43015790 50074888 51618948 62593610 64523685 75112332 86031580 93890415 103237896 125187220 129047370 150224664 172063160 187780830 250374440 258094740 372094579 375561660 516189480 744189158 751123320 1116283737 1488378316 1860472895 2232567474 2976756632 3720945790 4465134948 5581418685 7441891580 8930269896 11162837370 14883783160 22325674740 44651349480 100093441751 200186883502 300280325253 400373767004 500467208755 600560650506 800747534008 1000934417510 1201121301012 1501401626265 2001868835020 2402242602024 3002803252530 4003737670040 6005606505060 12011213010120