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12131240256 = 2632171238893
BaseRepresentation
bin10110100110001010…
…00000100101000000
31011022110001212010200
423103011000211000
5144321044142011
65323434325200
7606423561252
oct132305004500
934273055120
1012131240256
1151658503a3
122426889800
1311b43c5995
14831221cd2
154b0046856
hex2d3140940

12131240256 has 84 divisors (see below), whose sum is σ = 36817451892. Its totient is φ = 3805876224.

The previous prime is 12131240227. The next prime is 12131240257. The reversal of 12131240256 is 65204213121.

It can be written as a sum of positive squares in 2 ways, for example, as 4419590400 + 7711649856 = 66480^2 + 87816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609655 + ... + 629238.

Almost surely, 212131240256 is an apocalyptic number.

12131240256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12131240256 is an abundant number, since it is smaller than the sum of its proper divisors (24686211636).

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

12131240256 is a wasteful number, since it uses less digits than its factorization.

12131240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238928 (or 1238915 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12131240256 its reverse (65204213121), we get a palindrome (77335453377).

The spelling of 12131240256 in words is "twelve billion, one hundred thirty-one million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 1238893 2477786 3716679 4955572 7433358 9911144 11150037 14866716 19822288 21061181 22300074 29733432 39644576 42122362 44600148 59466864 63183543 79289152 84244724 89200296 118933728 126367086 168489448 178400592 189550629 237867456 252734172 336978896 356801184 379101258 505468344 673957792 713602368 758202516 1010936688 1347915584 1516405032 2021873376 3032810064 4043746752 6065620128 12131240256