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12104033340432 = 24311213115908609
BaseRepresentation
bin1011000000100011000010…
…0110111000110000010000
31120212010121220011100222010
42300020300212320300100
53041303030013343212
641424303253342520
72356326141555015
oct260106046706020
946763556140863
1012104033340432
1139473232a6300
121435a14337a40
1369a5369c52a7
142dbba459170c
1515ecc12b903c
hexb02309b8c10

12104033340432 has 120 divisors (see below), whose sum is σ = 34632153087840. Its totient is φ = 3639889510400.

The previous prime is 12104033340359. The next prime is 12104033340449. The reversal of 12104033340432 is 23404333040121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12104033340432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7193457 + ... + 8715152.

It is an arithmetic number, because the mean of its divisors is an integer number (288601275732).

Almost surely, 212104033340432 is an apocalyptic number.

12104033340432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12104033340432 is an abundant number, since it is smaller than the sum of its proper divisors (22528119747408).

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

12104033340432 is a wasteful number, since it uses less digits than its factorization.

12104033340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908773 (or 15908756 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12104033340432 its reverse (23404333040121), we get a palindrome (35508366380553).

The spelling of 12104033340432 in words is "twelve trillion, one hundred four billion, thirty-three million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 131 132 176 242 262 264 363 393 484 524 528 726 786 968 1048 1441 1452 1572 1936 2096 2882 2904 3144 4323 5764 5808 6288 8646 11528 15851 17292 23056 31702 34584 47553 63404 69168 95106 126808 190212 253616 380424 760848 15908609 31817218 47725827 63634436 95451654 127268872 174994699 190903308 254537744 349989398 381806616 524984097 699978796 763613232 1049968194 1399957592 1924941689 2084027779 2099936388 2799915184 3849883378 4168055558 4199872776 5774825067 6252083337 7699766756 8336111116 8399745552 11549650134 12504166674 15399533512 16672222232 22924305569 23099300268 25008333348 30799067024 33344444464 45848611138 46198600536 50016666696 68772916707 91697222276 92397201072 100033333392 137545833414 183394444552 252167361259 275091666828 366788889104 504334722518 550183333656 756502083777 1008669445036 1100366667312 1513004167554 2017338890072 3026008335108 4034677780144 6052016670216 12104033340432