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12131422144 = 261511255321
BaseRepresentation
bin10110100110001011…
…01100111111000000
31011022110102002122021
423103011230333000
5144321121002034
65323442251224
7606425246452
oct132305547700
934273362567
1012131422144
115165965016
122426956b14
1311b445a6ca
1483126c2d2
154b00806b4
hex2d316cfc0

12131422144 has 28 divisors (see below), whose sum is σ = 24232735888. Its totient is φ = 6025536000.

The previous prime is 12131422117. The next prime is 12131422213. The reversal of 12131422144 is 44122413121.

12131422144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617997 + ... + 637324.

Almost surely, 212131422144 is an apocalyptic number.

It is an amenable number.

12131422144 is a deficient number, since it is larger than the sum of its proper divisors (12101313744).

12131422144 is a wasteful number, since it uses less digits than its factorization.

12131422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255484 (or 1255474 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 12131422144 its reverse (44122413121), we get a palindrome (56253835265).

The spelling of 12131422144 in words is "twelve billion, one hundred thirty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 151 302 604 1208 2416 4832 9664 1255321 2510642 5021284 10042568 20085136 40170272 80340544 189553471 379106942 758213884 1516427768 3032855536 6065711072 12131422144