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12010110111180 = 2232579783717483
BaseRepresentation
bin1010111011000101001001…
…0110001100110111001100
31120112011012020000222001200
42232301102112030313030
53033233201142024210
641313211324505500
72346462503361216
oct256612226146714
946464166028050
1012010110111180
113910506066a95
12141b7816ab290
13691719150bac
142d74146055b6
1515c6257ce0c0
hexaec5258cdcc

12010110111180 has 72 divisors (see below), whose sum is σ = 36476377518672. Its totient is φ = 3198677552256.

The previous prime is 12010110111179. The next prime is 12010110111193. The reversal of 12010110111180 is 8111101101021.

12010110111180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41715282 + ... + 42002201.

It is an arithmetic number, because the mean of its divisors is an integer number (506616354426).

Almost surely, 212010110111180 is an apocalyptic number.

12010110111180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010110111180 is an abundant number, since it is smaller than the sum of its proper divisors (24466267407492).

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

12010110111180 is a wasteful number, since it uses less digits than its factorization.

12010110111180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83718295 (or 83718290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

The spelling of 12010110111180 in words is "twelve trillion, ten billion, one hundred ten million, one hundred eleven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 2391 3188 3985 4782 7173 7970 9564 11955 14346 15940 23910 28692 35865 47820 71730 143460 83717483 167434966 251152449 334869932 418587415 502304898 753457347 837174830 1004609796 1255762245 1506914694 1674349660 2511524490 3013829388 3767286735 5023048980 7534573470 15069146940 66722833951 133445667902 200168501853 266891335804 333614169755 400337003706 600505505559 667228339510 800674007412 1000842509265 1201011011118 1334456679020 2001685018530 2402022022236 3002527527795 4003370037060 6005055055590 12010110111180