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12135253115505 = 35131941591354019
BaseRepresentation
bin1011000010010111010101…
…1100111000001001110001
31120222010012122200021011210
42300211311130320021301
53042310444244144010
641450505221430333
72361512612353302
oct260456534701161
946863178607153
1012135253115505
113959594022403
12143ba8786b3a9
136a04709b6790
142dd4c69d67a9
151609ec037b20
hexb0975738271

12135253115505 has 128 divisors (see below), whose sum is σ = 22929516288000. Its totient is φ = 5428204001280.

The previous prime is 12135253115477. The next prime is 12135253115561. The reversal of 12135253115505 is 50551135253121.

It is not a de Polignac number, because 12135253115505 - 211 = 12135253113457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8285386 + ... + 9639404.

It is an arithmetic number, because the mean of its divisors is an integer number (179136846000).

Almost surely, 212135253115505 is an apocalyptic number.

12135253115505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12135253115505 is a deficient number, since it is larger than the sum of its proper divisors (10794263172495).

12135253115505 is a wasteful number, since it uses less digits than its factorization.

12135253115505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354159.

The product of its (nonzero) digits is 112500, while the sum is 39.

Adding to 12135253115505 its reverse (50551135253121), we get a palindrome (62686388368626).

The spelling of 12135253115505 in words is "twelve trillion, one hundred thirty-five billion, two hundred fifty-three million, one hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 13 15 19 39 41 57 59 65 95 123 177 195 205 247 285 295 533 615 741 767 779 885 1121 1235 1599 2301 2337 2419 2665 3363 3705 3835 3895 5605 7257 7995 10127 11505 11685 12095 14573 16815 30381 31447 36285 43719 45961 50635 72865 94341 137883 151905 157235 218595 229805 471705 597493 689415 1354019 1792479 2987465 4062057 6770095 8962395 17602247 20310285 25726361 52806741 55514779 77179083 79887121 88011235 128631805 166544337 239661363 264033705 277573895 334442693 385895415 399435605 721692127 832721685 1003328079 1038532573 1054780801 1198306815 1517855299 1672213465 2165076381 3115597719 3164342403 3275371961 3608460635 4553565897 5016640395 5192662865 5273904005 7589276495 9826115883 10825381905 13712150413 15577988595 15821712015 16376859805 19732118887 22767829485 41136451239 42579835493 49130579415 59196356661 62232067259 68560752065 98660594435 127739506479 186696201777 205682256195 212899177465 295981783305 311160336295 638697532395 809016874367 933481008885 2427050623101 4045084371835 12135253115505