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12147088985820 = 2233563135649143
BaseRepresentation
bin1011000011000011011011…
…1011001000111011011100
31121000020202111221202221000
42300300312323020323130
53043004214240021240
641500143505310300
72362412121530655
oct260606673107334
947006674852830
1012147088985820
113963608070a08
12144222b635390
136a1608b42c39
142ddcca8cc52c
15160e91187430
hexb0c36ec8edc

12147088985820 has 96 divisors (see below), whose sum is σ = 37850835133440. Its totient is φ = 3234090162240.

The previous prime is 12147088985771. The next prime is 12147088985827. The reversal of 12147088985820 is 2858988074121.

12147088985820 is a `hidden beast` number, since 1 + 2 + 1 + 47 + 0 + 8 + 8 + 9 + 8 + 582 + 0 = 666.

It is a super-2 number, since 2×121470889858202 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147088985827) by changing a digit.

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, 17483832 + ... + 18165311.

It is an arithmetic number, because the mean of its divisors is an integer number (394279532640).

Almost surely, 212147088985820 is an apocalyptic number.

12147088985820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12147088985820 is an abundant number, since it is smaller than the sum of its proper divisors (25703746147620).

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

12147088985820 is a wasteful number, since it uses less digits than its factorization.

12147088985820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35649792 (or 35649784 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 12147088985820 in words is "twelve trillion, one hundred forty-seven billion, eighty-eight million, nine hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 631 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 17037 18930 22716 28395 34074 37860 56790 68148 85185 113580 170370 340740 35649143 71298286 106947429 142596572 178245715 213894858 320842287 356491430 427789716 534737145 641684574 712982860 962526861 1069474290 1283369148 1604211435 1925053722 2138948580 3208422870 3850107444 4812634305 6416845740 9625268610 19250537220 22494609233 44989218466 67483827699 89978436932 112473046165 134967655398 202451483097 224946092330 269935310796 337419138495 404902966194 449892184660 607354449291 674838276990 809805932388 1012257415485 1214708898582 1349676553980 2024514830970 2429417797164 3036772246455 4049029661940 6073544492910 12147088985820