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12010101011120 = 2452933493534159
BaseRepresentation
bin1010111011000101000111…
…0011011111001010110000
31120112011011120220122010102
42232301101303133022300
53033233141324323440
641313210401451532
72346462333130352
oct256612163371260
946464146818112
1012010101011120
113910500a10a83
12141b77a640ba8
136917172b5b44
142d74133170d2
1515c624ad2b15
hexaec51cdf2b0

12010101011120 has 160 divisors (see below), whose sum is σ = 28185446016000. Its totient is φ = 4759257710592.

The previous prime is 12010101011101. The next prime is 12010101011131. The reversal of 12010101011120 is 2111010101021.

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 31 ways as a sum of consecutive naturals, for example, 2887735601 + ... + 2887739759.

It is an arithmetic number, because the mean of its divisors is an integer number (176159037600).

Almost surely, 212010101011120 is an apocalyptic number.

12010101011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010101011120 is an abundant number, since it is smaller than the sum of its proper divisors (16175345004880).

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

12010101011120 is a wasteful number, since it uses less digits than its factorization.

12010101011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12010101011120 its reverse (2111010101021), we get a palindrome (14121111112141).

The spelling of 12010101011120 in words is "twelve trillion, ten billion, one hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 349 353 586 698 706 1172 1396 1412 1465 1745 1765 2344 2792 2824 2930 3490 3530 4159 4688 5584 5648 5860 6980 7060 8318 11720 13960 14120 16636 20795 23440 27920 28240 33272 41590 66544 83180 102257 103429 123197 166360 204514 206858 246394 332720 409028 413716 492788 511285 517145 615985 818056 827432 985576 1022570 1034290 1218587 1231970 1451491 1468127 1636112 1654864 1971152 2045140 2068580 2437174 2463940 2902982 2936254 4090280 4137160 4874348 4927880 5805964 5872508 6092935 7257455 7340635 8180560 8274320 9748696 9855760 11611928 11745016 12185870 14514910 14681270 19497392 23223856 23490032 24371740 29029820 29362540 36096721 48743480 58059640 58725080 72193442 97486960 116119280 117450160 144386884 180483605 288773768 360967210 425286863 430161211 512376323 577547536 721934420 850573726 860322422 1024752646 1443868840 1701147452 1720644844 2049505292 2126434315 2150806055 2561881615 2887737680 3402294904 3441289688 4099010584 4252868630 4301612110 5123763230 6804589808 6882579376 8198021168 8505737260 8603224220 10247526460 17011474520 17206448440 20495052920 34022949040 34412896880 40990105840 150126262639 300252525278 600505050556 750631313195 1201010101112 1501262626390 2402020202224 3002525252780 6005050505560 12010101011120