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12012000112000 = 27537107250001
BaseRepresentation
bin1010111011001100001011…
…1111111110110110000000
31120112100001221101221210001
42232303002333332312000
53033301034012041000
641314123042045344
72346560363203540
oct256630277766600
946470057357701
1012012000112000
113911295a02639
12142000a649854
1369195a893385
142d7553629320
1515c6d66b446a
hexaecc2ffed80

12012000112000 has 128 divisors (see below), whose sum is σ = 34131240636480. Its totient is φ = 4118400000000.

The previous prime is 12012000111989. The next prime is 12012000112001. The reversal of 12012000112000 is 21100021021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012000112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53513001 + ... + 53737000.

Almost surely, 212012000112000 is an apocalyptic number.

12012000112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012000112000 is an abundant number, since it is smaller than the sum of its proper divisors (22119240524480).

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

12012000112000 is an equidigital number, since it uses as much as digits as its factorization.

12012000112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107250037 (or 107250015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012000112000 its reverse (21100021021), we get a palindrome (12033100133021).

The spelling of 12012000112000 in words is "twelve trillion, twelve billion, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 107250001 214500002 429000004 536250005 750750007 858000008 1072500010 1501500014 1716000016 2145000020 2681250025 3003000028 3432000032 3753750035 4290000040 5362500050 6006000056 6864000064 7507500070 8580000080 10725000100 12012000112 13406250125 13728000128 15015000140 17160000160 18768750175 21450000200 24024000224 26812500250 30030000280 34320000320 37537500350 42900000400 48048000448 53625000500 60060000560 68640000640 75075000700 85800000800 93843750875 96096000896 107250001000 120120001120 150150001400 171600001600 187687501750 214500002000 240240002240 300300002800 343200003200 375375003500 429000004000 480480004480 600600005600 750750007000 858000008000 1201200011200 1501500014000 1716000016000 2402400022400 3003000028000 6006000056000 12012000112000