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12135102223140 = 22325135185941121
BaseRepresentation
bin1011000010010110110001…
…1101010001001100100100
31120222002211010202010202200
42300211230131101030210
53042310142132120030
641450442231334500
72361506100656001
oct260455435211444
946862733663680
1012135102223140
113959516930776
12143ba45221430
136a0448664660
142dd4b09588a8
151609ddb7dd60
hexb096c751324

12135102223140 has 72 divisors (see below), whose sum is σ = 39641333936568. Its totient is φ = 2987102085120.

The previous prime is 12135102223093. The next prime is 12135102223147. The reversal of 12135102223140 is 4132220153121.

It is a happy number.

12135102223140 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 510 + 2 + 2 + 2 + 3 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32677069824 + 12102425153316 = 180768^2 + 3478854^2 .

It is not an unprimeable number, because it can be changed into a prime (12135102223147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2592968221 + ... + 2592972900.

Almost surely, 212135102223140 is an apocalyptic number.

12135102223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135102223140 is an abundant number, since it is smaller than the sum of its proper divisors (27506231713428).

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

12135102223140 is a wasteful number, since it uses less digits than its factorization.

12135102223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185941149 (or 5185941144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12135102223140 its reverse (4132220153121), we get a palindrome (16267322376261).

The spelling of 12135102223140 in words is "twelve trillion, one hundred thirty-five billion, one hundred two million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5185941121 10371882242 15557823363 20743764484 25929705605 31115646726 46673470089 51859411210 62231293452 67417234573 77789116815 93346940178 103718822420 134834469146 155578233630 186693880356 202251703719 233367350445 269668938292 311156467260 337086172865 404503407438 466734700890 606755111157 674172345730 809006814876 933469401780 1011258518595 1213510222314 1348344691460 2022517037190 2427020444628 3033775555785 4045034074380 6067551111570 12135102223140