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12012113132320 = 255721737493403
BaseRepresentation
bin1010111011001100100110…
…1111000111101100100000
31120112100100211001222111211
42232303021233013230200
53033301301430213240
641314142200315504
72346563234645050
oct256631157075440
946470324058454
1012012113132320
113911343787464
121420040472b94
136919781153c2
142d7564649560
1515c6e158bbea
hexaecc9bc7b20

12012113132320 has 96 divisors (see below), whose sum is σ = 32434263243648. Its totient is φ = 4118240974848.

The previous prime is 12012113132309. The next prime is 12012113132333. The reversal of 12012113132320 is 2323131121021.

It is a junction number, because it is equal to n+sod(n) for n = 12012113132291 and 12012113132300.

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 15 ways as a sum of consecutive naturals, for example, 24098739 + ... + 24592141.

It is an arithmetic number, because the mean of its divisors is an integer number (337856908788).

Almost surely, 212012113132320 is an apocalyptic number.

12012113132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012113132320 is an abundant number, since it is smaller than the sum of its proper divisors (20422150111328).

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

12012113132320 is a wasteful number, since it uses less digits than its factorization.

12012113132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515162 (or 515154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12012113132320 its reverse (2323131121021), we get a palindrome (14335244253341).

The spelling of 12012113132320 in words is "twelve trillion, twelve billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 21737 43474 86948 108685 152159 173896 217370 304318 347792 434740 493403 608636 695584 760795 869480 986806 1217272 1521590 1738960 1973612 2434544 2467015 3043180 3453821 3477920 3947224 4869088 4934030 6086360 6907642 7894448 9868060 12172720 13815284 15788896 17269105 19736120 24345440 27630568 34538210 39472240 55261136 69076420 78944480 110522272 138152840 276305680 552611360 10725101011 21450202022 42900404044 53625505055 75075707077 85800808088 107251010110 150151414154 171601616176 214502020220 300302828308 343203232352 375378535385 429004040440 600605656616 750757070770 858008080880 1201211313232 1501514141540 1716016161760 2402422626464 3003028283080 6006056566160 12012113132320