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12041231312231 = 1141535975711279
BaseRepresentation
bin1010111100111001000101…
…0100001010010101100111
31120122010112010001210010122
42233032101110022111213
53034240420203442411
641335355412112155
72351643636253622
oct257162124122547
946563463053118
1012041231312231
113922726185a60
12142580800565b
136946388aa964
142d8b2790adb9
1515d347a7a9db
hexaf39150a567

12041231312231 has 64 divisors (see below), whose sum is σ = 13962199910400. Its totient is φ = 10285969075200.

The previous prime is 12041231312221. The next prime is 12041231312249. The reversal of 12041231312231 is 13221313214021.

12041231312231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12041231312231 is a prime.

It is a super-2 number, since 2×120412313122312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12041231312231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041231312221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067574050 + ... + 1067585328.

It is an arithmetic number, because the mean of its divisors is an integer number (218159373600).

Almost surely, 212041231312231 is an apocalyptic number.

12041231312231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12041231312231 is a deficient number, since it is larger than the sum of its proper divisors (1920968598169).

12041231312231 is a wasteful number, since it uses less digits than its factorization.

12041231312231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12200.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 12041231312231 its reverse (13221313214021), we get a palindrome (25262544526252).

The spelling of 12041231312231 in words is "twelve trillion, forty-one billion, two hundred thirty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 41 53 59 451 583 649 757 2173 2419 3127 8327 11279 23903 26609 31037 34397 40121 44663 124069 128207 341407 441331 462439 491293 597787 665461 1410277 1644961 1831183 2367139 5086829 6575657 7320071 8538203 18094571 20143013 24509267 26038529 27283901 35269433 93920233 97052699 269601937 300122911 350066323 387963763 452524759 503753977 1067579689 1446046753 3850729553 4977772349 5541293747 15906514283 18553515119 20653913057 26698960781 204088666309 227193043627 293688568591 1094657392021 12041231312231