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12131243124 = 223711131009927
BaseRepresentation
bin10110100110001010…
…00001010001110100
31011022110002000001220
423103011001101310
5144321044234444
65323434350340
7606423602520
oct132305012164
934273060056
1012131243124
115165852570
12242688b3b0
1311b43c7090
14831222d80
154b0047619
hex2d3141474

12131243124 has 96 divisors (see below), whose sum is σ = 38005610496. Its totient is φ = 2908586880.

The previous prime is 12131243099. The next prime is 12131243143. The reversal of 12131243124 is 42134213121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12131243094 and 12131243103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492952 + ... + 516975.

It is an arithmetic number, because the mean of its divisors is an integer number (395891776).

Almost surely, 212131243124 is an apocalyptic number.

12131243124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12131243124 is an abundant number, since it is smaller than the sum of its proper divisors (25874367372).

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

12131243124 is a wasteful number, since it uses less digits than its factorization.

12131243124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009965 (or 1009963 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12131243124 its reverse (42134213121), we get a palindrome (54265456245).

It can be divided in two parts, 12131 and 243124, that added together give a triangular number (255255 = T714).

The spelling of 12131243124 in words is "twelve billion, one hundred thirty-one million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1009927 2019854 3029781 4039708 6059562 7069489 11109197 12119124 13129051 14138978 21208467 22218394 26258102 28277956 33327591 39387153 42416934 44436788 52516204 66655182 77764379 78774306 84833868 91903357 133310364 144419561 155528758 157548612 183806714 233293137 275710071 288839122 311057516 367613428 433258683 466586274 551420142 577678244 866517366 933172548 1010936927 1102840284 1733034732 2021873854 3032810781 4043747708 6065621562 12131243124