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12111200102320 = 2451147316792461
BaseRepresentation
bin1011000000111101101111…
…0001111010011110110000
31120212211010100200121001121
42300033123301322132300
53041412214211233240
641431450350112024
72360001554205364
oct260173361723660
946784110617047
1012111200102320
11394a3707a0610
1214372944ab614
1369b1097186b7
142dc28431b2a4
1516009057404a
hexb03dbc7a7b0

12111200102320 has 160 divisors (see below), whose sum is σ = 31382235979776. Its totient is φ = 4308961459200.

The previous prime is 12111200102317. The next prime is 12111200102347. The reversal of 12111200102320 is 2320100211121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12111200102294 and 12111200102303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130940890 + ... + 131033350.

Almost surely, 212111200102320 is an apocalyptic number.

12111200102320 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 12111200102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691117989888).

12111200102320 is an abundant number, since it is smaller than the sum of its proper divisors (19271035877456).

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

12111200102320 is a wasteful number, since it uses less digits than its factorization.

12111200102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95699 (or 95693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12111200102320 its reverse (2320100211121), we get a palindrome (14431300313441).

The spelling of 12111200102320 in words is "twelve trillion, one hundred eleven billion, two hundred million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3167 3760 4136 5170 6334 8272 10340 12668 15835 20680 25336 31670 34837 41360 50672 63340 69674 92461 126680 139348 148849 174185 184922 253360 278696 297698 348370 369844 462305 557392 595396 696740 739688 744245 924610 1017071 1190792 1393480 1479376 1488490 1637339 1849220 2034142 2381584 2786960 2976980 3274678 3698440 4068284 4345667 5085355 5953960 6549356 7396880 8136568 8186695 8691334 10170710 11907920 13098712 16273136 16373390 17382668 20341420 21728335 26197424 32746780 34765336 40682840 43456670 47802337 65493560 69530672 81365680 86913340 95604674 130987120 173826680 191209348 239011685 292823987 347653360 382418696 478023370 585647974 764837392 956046740 1171295948 1464119935 1912093480 2342591896 2928239870 3221063857 3824186960 4685183792 5856479740 6442127714 11712959480 12884255428 13762727389 16105319285 23425918960 25768510856 27525454778 32210638570 51537021712 55050909556 64421277140 68813636945 110101819112 128842554280 137627273890 151390001279 220203638224 257685108560 275254547780 302780002558 550509095560 605560005116 756950006395 1101018191120 1211120010232 1513900012790 2422240020464 3027800025580 6055600051160 12111200102320