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12001210310120 = 23529193239224291
BaseRepresentation
bin1010111010100011111111…
…1000001001110111101000
31120111022012222111020011012
42232220333320021313220
53033111434314410440
641305140243123052
72346026115331313
oct256507770116750
946438188436135
1012001210310120
1139077593927a9
121419ab9073488
1369092b383b15
142d6c0c63397a
1515c2a42e5e65
hexaea3fe09de8

12001210310120 has 128 divisors (see below), whose sum is σ = 28196195904000. Its totient is φ = 4591621816320.

The previous prime is 12001210310077. The next prime is 12001210310249. The reversal of 12001210310120 is 2101301210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001210310095 and 12001210310104.

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, 53395175 + ... + 53619465.

It is an arithmetic number, because the mean of its divisors is an integer number (220282780500).

Almost surely, 212001210310120 is an apocalyptic number.

12001210310120 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 12001210310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14098097952000).

12001210310120 is an abundant number, since it is smaller than the sum of its proper divisors (16194985593880).

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

12001210310120 is a wasteful number, since it uses less digits than its factorization.

12001210310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224763 (or 224759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12001210310120 its reverse (2101301210021), we get a palindrome (14102511520141).

The spelling of 12001210310120 in words is "twelve trillion, one billion, two hundred ten million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 193 232 239 290 386 478 580 772 956 965 1160 1195 1544 1912 1930 2390 3860 4780 5597 6931 7720 9560 11194 13862 22388 27724 27985 34655 44776 46127 55448 55970 69310 92254 111940 138620 184508 223880 224291 230635 277240 369016 448582 461270 897164 922540 1121455 1337683 1794328 1845080 2242910 2675366 4485820 5350732 6504439 6688415 8971640 10701464 13008878 13376830 26017756 26753660 32522195 43288163 52035512 53507320 53605549 65044390 86576326 107211098 130088780 173152652 214422196 216440815 260177560 268027745 346305304 428844392 432881630 536055490 865763260 1072110980 1255356727 1554560921 1731526520 2144221960 2510713454 3109121842 5021426908 6218243684 6276783635 7772804605 10042853816 10345870957 12436487368 12553567270 15545609210 20691741914 25107134540 31091218420 41383483828 50214269080 51729354785 62182436840 82766967656 103458709570 206917419140 300030257753 413834838280 600060515506 1200121031012 1500151288765 2400242062024 3000302577530 6000605155060 12001210310120