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12032102230020 = 2232578569850781
BaseRepresentation
bin1010111100010111000100…
…1011011110100000000100
31120121020221220002100121200
42233011301023132200010
53034113221132330040
641331245500142500
72351201465323605
oct257056113364004
946536856070550
1012032102230020
11391987103a414
121423a9a837a30
13693812473872
142d84dd2d3dac
1515ceb13a2630
hexaf1712de804

12032102230020 has 72 divisors (see below), whose sum is σ = 36497884190040. Its totient is φ = 3208515985920.

The previous prime is 12032102229997. The next prime is 12032102230067. The reversal of 12032102230020 is 2003220123021.

12032102230020 is a `hidden beast` number, since 1 + 2 + 0 + 321 + 0 + 22 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1546784715204 + 10485317514816 = 1243698^2 + 3238104^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12032102229975 and 12032102230002.

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, 13717030 + ... + 14567810.

It is an arithmetic number, because the mean of its divisors is an integer number (506915058195).

Almost surely, 212032102230020 is an apocalyptic number.

12032102230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032102230020 is an abundant number, since it is smaller than the sum of its proper divisors (24465781960020).

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

12032102230020 is a wasteful number, since it uses less digits than its factorization.

12032102230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929365 (or 929360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12032102230020 its reverse (2003220123021), we get a palindrome (14035322353041).

The spelling of 12032102230020 in words is "twelve trillion, thirty-two billion, one hundred two million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 78569 157138 235707 314276 392845 471414 707121 785690 850781 942828 1178535 1414242 1571380 1701562 2357070 2552343 2828484 3403124 3535605 4253905 4714140 5104686 7071210 7657029 8507810 10209372 12761715 14142420 15314058 17015620 25523430 30628116 38285145 51046860 76570290 153140580 66845012389 133690024778 200535037167 267380049556 334225061945 401070074334 601605111501 668450123890 802140148668 1002675185835 1203210223002 1336900247780 2005350371670 2406420446004 3008025557505 4010700743340 6016051115010 12032102230020