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12340123020405 = 3258923369131849
BaseRepresentation
bin1011001110010010100010…
…1001100010110001110101
31121200201000101112202022100
42303210220221202301311
53104140032443123110
642124550234452313
72412354515666625
oct263445051426165
947621011482270
1012340123020405
113a284648141a4
121473722294099
136b688cc1468b
1430939d792885
15165edccb6bc0
hexb3928a62c75

12340123020405 has 48 divisors (see below), whose sum is σ = 21630968190000. Its totient is φ = 6507122823168.

The previous prime is 12340123020403. The next prime is 12340123020451. The reversal of 12340123020405 is 50402032104321.

12340123020405 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 1 + 230 + 20 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6417436626756 + 5922686393649 = 2533266^2 + 2433657^2 .

It is not a de Polignac number, because 12340123020405 - 21 = 12340123020403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340123020403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93526921 + ... + 93658769.

It is an arithmetic number, because the mean of its divisors is an integer number (450645170625).

Almost surely, 212340123020405 is an apocalyptic number.

12340123020405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12340123020405 is a deficient number, since it is larger than the sum of its proper divisors (9290845169595).

12340123020405 is a wasteful number, since it uses less digits than its factorization.

12340123020405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155318 (or 155315 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12340123020405 its reverse (50402032104321), we get a palindrome (62742155124726).

It can be divided in two parts, 123401 and 23020405, that added together give a triangular number (23143806 = T6803).

The spelling of 12340123020405 in words is "twelve trillion, three hundred forty billion, one hundred twenty-three million, twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 23369 70107 116845 131849 210321 350535 395547 659245 1051605 1186641 1977735 2079841 5933205 6239523 10399205 11734561 18718569 31197615 35203683 58672805 93592845 105611049 176018415 528055245 3081179281 9243537843 15405896405 27730613529 46217689215 138653067645 274224956009 822674868027 1371124780045 2468024604081 4113374340135 12340123020405