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12135114123435 = 3251749559320081
BaseRepresentation
bin1011000010010110110100…
…1010101010100010101011
31120222002211222010201220100
42300211231022222202223
53042310203203422220
641450443334400443
72361506304061512
oct260455512524253
946862758121810
1012135114123435
113959522619626
12143ba49200123
136a044ac70154
142dd4b2375679
151609dec2ed90
hexb096d2aa8ab

12135114123435 has 48 divisors (see below), whose sum is σ = 22272022543680. Its totient is φ = 6091209461760.

The previous prime is 12135114123371. The next prime is 12135114123439. The reversal of 12135114123435 is 53432141153121.

12135114123435 is a `hidden beast` number, since 1 + 2 + 1 + 351 + 1 + 41 + 234 + 35 = 666.

It is not a de Polignac number, because 12135114123435 - 26 = 12135114123371 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12135114123435.

It is not an unprimeable number, because it can be changed into a prime (12135114123439) 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, 37752595 + ... + 38072675.

It is an arithmetic number, because the mean of its divisors is an integer number (464000469660).

Almost surely, 212135114123435 is an apocalyptic number.

12135114123435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12135114123435 is a deficient number, since it is larger than the sum of its proper divisors (10136908420245).

12135114123435 is a wasteful number, since it uses less digits than its factorization.

12135114123435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369668 (or 369665 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 12135114123435 its reverse (53432141153121), we get a palindrome (65567255276556).

The spelling of 12135114123435 in words is "twelve trillion, one hundred thirty-five billion, one hundred fourteen million, one hundred twenty-three thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 49559 148677 247795 320081 446031 743385 842503 960243 1600405 2230155 2527509 2880729 4212515 4801215 5441377 7582527 12637545 14403645 16324131 27206885 37912635 48972393 81620655 244861965 15862894279 47588682837 79314471395 142766048511 237943414185 269669202743 713830242555 809007608229 1348346013715 2427022824687 4045038041145 12135114123435