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12321101100120 = 2335223866353149
BaseRepresentation
bin1011001101001011101011…
…0110101011010001011000
31121121212220201110002012020
42303102322312223101120
53103332103340200440
642112122525014440
72411112241226241
oct263227266532130
947555821402166
1012321101100120
113a203933a6a1a
12146bab39b4420
136b4b4b070747
143084b734dcc8
15165777d4c3d0
hexb34badab458

12321101100120 has 128 divisors (see below), whose sum is σ = 37134042624000. Its totient is φ = 3270454101504.

The previous prime is 12321101100109. The next prime is 12321101100127. The reversal of 12321101100120 is 2100110112321.

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 12321101100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321101100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231795306 + ... + 231848454.

It is an arithmetic number, because the mean of its divisors is an integer number (290109708000).

Almost surely, 212321101100120 is an apocalyptic number.

12321101100120 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 12321101100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567021312000).

12321101100120 is an abundant number, since it is smaller than the sum of its proper divisors (24812941523880).

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

12321101100120 is a wasteful number, since it uses less digits than its factorization.

12321101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62049 (or 62045 counting only the distinct ones).

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

Adding to 12321101100120 its reverse (2100110112321), we get a palindrome (14421211212441).

The spelling of 12321101100120 in words is "twelve trillion, three hundred twenty-one billion, one hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8663 8920 13380 17326 25989 26760 34652 43315 51978 53149 69304 86630 103956 106298 129945 159447 173260 207912 212596 259890 265745 318894 346520 425192 519780 531490 637788 797235 1039560 1062980 1275576 1594470 1931849 2125960 3188940 3863698 5795547 6377880 7727396 9659245 11591094 11852227 15454792 19318490 23182188 23704454 28977735 35556681 38636980 46364376 47408908 57955470 59261135 71113362 77273960 94817816 115910940 118522270 142226724 177783405 231821880 237044540 284453448 355566810 460429787 474089080 711133620 920859574 1381289361 1422267240 1841719148 2302148935 2762578722 3683438296 4604297870 5525157444 6906446805 9208595740 11050314888 13812893610 18417191480 27625787220 55251574440 102675842501 205351685002 308027527503 410703370004 513379212505 616055055006 821406740008 1026758425010 1232110110012 1540137637515 2053516850020 2464220220024 3080275275030 4107033700040 6160550550060 12321101100120