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12011332332132 = 22327261111625333
BaseRepresentation
bin1010111011001001101100…
…1100100110101001100100
31120112021100101212020000100
42232302123030212221210
53033243202034112012
641313532505144100
72346535004155500
oct256623314465144
946467311766010
1012011332332132
113910a82a6a751
12141ba62a8b030
13691882425663
142d74cca7b300
1515c697c588dc
hexaec9b326a64

12011332332132 has 108 divisors (see below), whose sum is σ = 35898037662396. Its totient is φ = 3375550039680.

The previous prime is 12011332332059. The next prime is 12011332332137. The reversal of 12011332332132 is 23123323311021.

12011332332132 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 332 + 3 + 321 + 3 + 2 = 666.

12011332332132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5017349123136 + 6993983208996 = 2239944^2 + 2644614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12011332332096 and 12011332332105.

It is not an unprimeable number, because it can be changed into a prime (12011332332137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55705063 + ... + 55920270.

Almost surely, 212011332332132 is an apocalyptic number.

12011332332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011332332132 is an abundant number, since it is smaller than the sum of its proper divisors (23886705330264).

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

12011332332132 is a wasteful number, since it uses less digits than its factorization.

12011332332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111625418 (or 111625406 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12011332332132 its reverse (23123323311021), we get a palindrome (35134655643153).

The spelling of 12011332332132 in words is "twelve trillion, eleven billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 7686 8967 11956 15372 17934 26901 35868 53802 107604 111625333 223250666 334875999 446501332 669751998 781377331 1004627997 1339503996 1562754662 2009255994 2344131993 3125509324 4018511988 4688263986 5469641317 6809145313 7032395979 9376527972 10939282634 13618290626 14064791958 16408923951 20427435939 21878565268 27236581252 28129583916 32817847902 40854871878 47664017191 49226771853 61282307817 65635695804 81709743756 95328034382 98453543706 122564615634 142992051573 190656068764 196907087412 245129231268 285984103146 333648120337 428976154719 571968206292 667296240674 857952309438 1000944361011 1334592481348 1715904618876 2001888722022 3002833083033 4003777444044 6005666166066 12011332332132