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12131241122 = 27111335916879
BaseRepresentation
bin10110100110001010…
…00000110010100010
31011022110001220022202
423103011000302202
5144321044203442
65323434333202
7606423563630
oct132305006242
934273056282
1012131241122
115165851010
12242688a202
1311b43c61b0
14831222350
154b0046c32
hex2d3140ca2

12131241122 has 64 divisors (see below), whose sum is σ = 24501657600. Its totient is φ = 4350473280.

The previous prime is 12131241119. The next prime is 12131241127. The reversal of 12131241122 is 22114213121.

It is a super-2 number, since 2×121312411222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12131241094 and 12131241103.

It is not an unprimeable number, because it can be changed into a prime (12131241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710279 + ... + 727157.

It is an arithmetic number, because the mean of its divisors is an integer number (382838400).

Almost surely, 212131241122 is an apocalyptic number.

12131241122 is an abundant number, since it is smaller than the sum of its proper divisors (12370416478).

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

12131241122 is a wasteful number, since it uses less digits than its factorization.

12131241122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17271.

The product of its digits is 192, while the sum is 20.

Adding to 12131241122 its reverse (22114213121), we get a palindrome (34245454243).

The spelling of 12131241122 in words is "twelve billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 359 718 1001 2002 2513 3949 4667 5026 7898 9334 16879 27643 32669 33758 51337 55286 65338 102674 118153 185669 219427 236306 359359 371338 438854 718718 1299683 1535989 2413697 2599366 3071978 4827394 6059561 12119122 16895879 33791758 42416927 66655171 78774293 84833854 133310342 157548586 466586197 551420051 866517223 933172394 1102840102 1733034446 6065620561 12131241122