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12021541878546 = 2343759107317693
BaseRepresentation
bin1010111011101111101110…
…1110111011101100010010
31120120020200220220220210000
42232323323232323230102
53033430104210103141
641322341535150430
72350346004655104
oct256737356735422
946506626826700
1012021541878546
113915341a98012
121421a32075416
1369281b660395
142d7bba989574
1515ca942095b6
hexaeefbbbbb12

12021541878546 has 160 divisors (see below), whose sum is σ = 28397116313280. Its totient is φ = 3796963288704.

The previous prime is 12021541878497. The next prime is 12021541878553. The reversal of 12021541878546 is 64587814512021.

12021541878546 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 15 + 4 + 1 + 87 + 8 + 546 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12021541878492 and 12021541878501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37681276 + ... + 37998968.

It is an arithmetic number, because the mean of its divisors is an integer number (177481976958).

Almost surely, 212021541878546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021541878546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198558156640).

12021541878546 is an abundant number, since it is smaller than the sum of its proper divisors (16375574434734).

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

12021541878546 is a wasteful number, since it uses less digits than its factorization.

12021541878546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317910 (or 317901 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12021541878546 in words is "twelve trillion, twenty-one billion, five hundred forty-one million, eight hundred seventy-eight thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 59 74 81 107 111 118 162 177 214 222 321 333 354 531 642 666 963 999 1062 1593 1926 1998 2183 2889 2997 3186 3959 4366 4779 5778 5994 6313 6549 7918 8667 9558 11877 12626 13098 17334 18939 19647 23754 35631 37878 39294 56817 58941 71262 106893 113634 117882 170451 176823 213786 233581 317693 320679 340902 353646 467162 511353 635386 641358 700743 953079 1022706 1401486 1906158 2102229 2859237 4204458 5718474 6306687 8577711 11754641 12613374 17155422 18743887 18920061 23509282 25733133 33993151 35263923 37487774 37840122 51466266 56231661 67986302 70527846 101979453 105791769 112463322 168694983 203958906 211583538 305938359 317375307 337389966 506084949 611876718 634750614 693523819 917815077 952125921 1012169898 1257746587 1387047638 1518254847 1835630154 1904251842 2005595909 2080571457 2515493174 2753445231 3036509694 3773239761 4011191818 4161142914 5506890462 6016787727 6241714371 7546479522 11319719283 12033575454 12483428742 18050363181 18725143113 22639438566 33959157849 36100726362 37450286226 54151089543 56175429339 67918315698 74207048633 101877473547 108302179086 112350858678 148414097266 162453268629 203754947094 222621145899 324906537258 445242291798 667863437697 1335726875394 2003590313091 4007180626182 6010770939273 12021541878546