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12000112001220 = 2235779735849053
BaseRepresentation
bin1010111010011111111001…
…1010011100000011000100
31120111012101102211100120210
42232213332122130003010
53033102212133014340
641304435250355420
72345656651010460
oct256477632340304
946435342740523
1012000112001220
113907245422aa2
12141985128bb70
136907b4975ab5
142d6b468154a0
1515c23cb96180
hexae9fe69c0c4

12000112001220 has 96 divisors (see below), whose sum is σ = 38448540603648. Its totient is φ = 2739441157632.

The previous prime is 12000112001191. The next prime is 12000112001261. The reversal of 12000112001220 is 2210021100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12000112001196 and 12000112001205.

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, 17589787 + ... + 18259266.

It is an arithmetic number, because the mean of its divisors is an integer number (400505631288).

Almost surely, 212000112001220 is an apocalyptic number.

12000112001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000112001220 is an abundant number, since it is smaller than the sum of its proper divisors (26448428602428).

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

12000112001220 is a wasteful number, since it uses less digits than its factorization.

12000112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35849869 (or 35849867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000112001220 its reverse (2210021100021), we get a palindrome (14210133101241).

The spelling of 12000112001220 in words is "twelve trillion, one hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 797 1594 2391 3188 3985 4782 5579 7970 9564 11158 11955 15940 16737 22316 23910 27895 33474 47820 55790 66948 83685 111580 167370 334740 35849053 71698106 107547159 143396212 179245265 215094318 250943371 358490530 430188636 501886742 537735795 716981060 752830113 1003773484 1075471590 1254716855 1505660226 2150943180 2509433710 3011320452 3764150565 5018867420 7528301130 15056602260 28571695241 57143390482 85715085723 114286780964 142858476205 171430171446 200001866687 285716952410 342860342892 400003733374 428575428615 571433904820 600005600061 800007466748 857150857230 1000009333435 1200011200122 1714301714460 2000018666870 2400022400244 3000028000305 4000037333740 6000056000610 12000112001220