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12076705212135 = 3519926988317033
BaseRepresentation
bin1010111110111101001110…
…1110010110011011100111
31120202112002100110121112020
42233233103232112123213
53040331043013242020
641403543424554223
72354341004400414
oct257572356263347
946675070417466
1012076705212135
11393677a287003
121430668182973
13697aa0048885
142da730d3710b
1515e22201ac40
hexafbd3b966e7

12076705212135 has 64 divisors (see below), whose sum is σ = 19515240576000. Its totient is φ = 6377114354688.

The previous prime is 12076705212083. The next prime is 12076705212137. The reversal of 12076705212135 is 53121250767021.

It is a happy number.

It is not a de Polignac number, because 12076705212135 - 225 = 12076671657703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12076705212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709009579 + ... + 709026611.

It is an arithmetic number, because the mean of its divisors is an integer number (304925634000).

Almost surely, 212076705212135 is an apocalyptic number.

12076705212135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12076705212135 is a deficient number, since it is larger than the sum of its proper divisors (7438535363865).

12076705212135 is a wasteful number, since it uses less digits than its factorization.

12076705212135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18392.

The product of its (nonzero) digits is 176400, while the sum is 42.

Adding to 12076705212135 its reverse (53121250767021), we get a palindrome (65197955979156).

The spelling of 12076705212135 in words is "twelve trillion, seventy-six billion, seven hundred five million, two hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 15 199 269 597 807 883 995 1345 2649 2985 4035 4415 13245 17033 51099 53531 85165 160593 175717 237527 255495 267655 527151 712581 802965 878585 1187635 2635755 3389567 3562905 4581877 10168701 13745631 15040139 16947835 22909385 45120417 47267873 50843505 68728155 75200695 141803619 225602085 236339365 709018095 911793523 2735380569 2992987661 4045797391 4558967615 8978962983 12137392173 13676902845 14964938305 20228986955 44894814915 60686960865 805113680809 2415341042427 4025568404045 12076705212135