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121324140240 = 24355917594871
BaseRepresentation
bin111000011111101111…
…0110111011011010000
3102121011021202220102120
41300333132313123100
53441432434441430
6131422513214240
711523345114402
oct1607736673320
9377137686376
10121324140240
11474a93502a6
121b61b261380
13b5966250c4
145c2d14cb72
153251363610
hex1c3f7b76d0

121324140240 has 160 divisors (see below), whose sum is σ = 382775500800. Its totient is φ = 31780139520.

The previous prime is 121324140239. The next prime is 121324140251. The reversal of 121324140240 is 42041423121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121324140240.

It is a congruent number.

It is an unprimeable number.

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, 24905005 + ... + 24909875.

It is an arithmetic number, because the mean of its divisors is an integer number (2392346880).

Almost surely, 2121324140240 is an apocalyptic number.

121324140240 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 121324140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191387750400).

121324140240 is an abundant number, since it is smaller than the sum of its proper divisors (261451360560).

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

121324140240 is a wasteful number, since it uses less digits than its factorization.

121324140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 121324140240 its reverse (42041423121), we get a palindrome (163365563361).

The spelling of 121324140240 in words is "one hundred twenty-one billion, three hundred twenty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1759 1770 2360 2832 3518 3540 4720 4871 5277 7036 7080 8795 9742 10554 14072 14160 14613 17590 19484 21108 24355 26385 28144 29226 35180 38968 42216 48710 52770 58452 70360 73065 77936 84432 97420 103781 105540 116904 140720 146130 194840 207562 211080 233808 287389 292260 311343 389680 415124 422160 518905 574778 584520 622686 830248 862167 1037810 1149556 1169040 1245372 1436945 1556715 1660496 1724334 2075620 2299112 2490744 2873890 3113430 3448668 4151240 4310835 4598224 4981488 5747780 6226860 6897336 8302480 8568089 8621670 11495560 12453720 13794672 17136178 17243340 22991120 24907440 25704267 34272356 34486680 42840445 51408534 68544712 68973360 85680890 102817068 128521335 137089424 171361780 205634136 257042670 342723560 411268272 505517251 514085340 685447120 1011034502 1028170680 1516551753 2022069004 2056341360 2527586255 3033103506 4044138008 5055172510 6066207012 7582758765 8088276016 10110345020 12132414024 15165517530 20220690040 24264828048 30331035060 40441380080 60662070120 121324140240