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12005412455550 = 2352194439508861
BaseRepresentation
bin1010111010110011101001…
…0110000100010001111110
31120111201001211120100000010
42232230322112010101332
53033144041042034200
641311113233444050
72346235212066213
oct256547226042176
946451054510003
1012005412455550
113909515394868
12141a890410626
1369114ab311c7
142d70ca767b0a
1515c44d19b150
hexaeb3a58447e

12005412455550 has 96 divisors (see below), whose sum is σ = 31411194376320. Its totient is φ = 3026099606400.

The previous prime is 12005412455539. The next prime is 12005412455651. The reversal of 12005412455550 is 5555421450021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12005412455499 and 12005412455508.

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 47 ways as a sum of consecutive naturals, for example, 3491881 + ... + 6016980.

It is an arithmetic number, because the mean of its divisors is an integer number (327199941420).

Almost surely, 212005412455550 is an apocalyptic number.

12005412455550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12005412455550 is an abundant number, since it is smaller than the sum of its proper divisors (19405781920770).

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

12005412455550 is a wasteful number, since it uses less digits than its factorization.

12005412455550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509338 (or 9509333 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

The spelling of 12005412455550 in words is "twelve trillion, five billion, four hundred twelve million, four hundred fifty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 443 475 570 886 950 1329 1425 2215 2658 2850 4430 6645 8417 11075 13290 16834 22150 25251 33225 42085 50502 66450 84170 126255 210425 252510 420850 631275 1262550 9508861 19017722 28526583 47544305 57053166 95088610 142632915 180668359 237721525 285265830 361336718 475443050 542005077 713164575 903341795 1084010154 1426329150 1806683590 2710025385 4212425423 4516708975 5420050770 8424850846 9033417950 12637276269 13550126925 21062127115 25274552538 27100253850 42124254230 63186381345 80036083037 105310635575 126372762690 160072166074 210621271150 240108249111 315931906725 400180415185 480216498222 631863813450 800360830370 1200541245555 2000902075925 2401082491110 4001804151850 6002706227775 12005412455550