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12012112101120 = 283515719924549
BaseRepresentation
bin1010111011001100100110…
…1011001011111100000000
31120112100100202010120222020
42232303021223023330000
53033301301144213440
641314142122241440
72346563223121455
oct256631153137400
946470322116866
1012012112101120
11391134314272a
121420040056280
13691977b43c21
142d756445b82c
1515c6e14363d0
hexaecc9acbf00

12012112101120 has 144 divisors (see below), whose sum is σ = 38608039629600. Its totient is φ = 3182826995712.

The previous prime is 12012112101107. The next prime is 12012112101137. The reversal of 12012112101120 is 2110121121021.

It is a happy number.

12012112101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120121121011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012112101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9359395 + ... + 10565154.

Almost surely, 212012112101120 is an apocalyptic number.

12012112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012112101120 is an abundant number, since it is smaller than the sum of its proper divisors (26595927528480).

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

12012112101120 is a wasteful number, since it uses less digits than its factorization.

12012112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19924730 (or 19924716 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12012112101120 its reverse (2110121121021), we get a palindrome (14122233222141).

The spelling of 12012112101120 in words is "twelve trillion, twelve billion, one hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 157 160 192 240 256 314 320 384 471 480 628 640 768 785 942 960 1256 1280 1570 1884 1920 2355 2512 3140 3768 3840 4710 5024 6280 7536 9420 10048 12560 15072 18840 20096 25120 30144 37680 40192 50240 60288 75360 100480 120576 150720 200960 301440 602880 19924549 39849098 59773647 79698196 99622745 119547294 159396392 199245490 239094588 298868235 318792784 398490980 478189176 597736470 637585568 796981960 956378352 1195472940 1275171136 1593963920 1912756704 2390945880 2550342272 3128154193 3187927840 3825513408 4781891760 5100684544 6256308386 6375855680 7651026816 9384462579 9563783520 12512616772 12751711360 15302053632 15640770965 18768925158 19127567040 25025233544 25503422720 31281541930 37537850316 38255134080 46922312895 50050467088 62563083860 75075700632 76510268160 93844625790 100100934176 125126167720 150151401264 187689251580 200201868352 250252335440 300302802528 375378503160 400403736704 500504670880 600605605056 750757006320 800807473408 1001009341760 1201211210112 1501514012640 2002018683520 2402422420224 3003028025280 4004037367040 6006056050560 12012112101120