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12143443312 = 24711131017507
BaseRepresentation
bin10110100111100111…
…00011110101110000
31011100022000211120201
423103303203311300
5144332210141222
65324552044544
7606632364550
oct132363436560
934308024521
1012143443312
115171725770
12242a993754
1311b6aa9220
14832abb160
154b1157427
hex2d3ce3d70

12143443312 has 160 divisors (see below), whose sum is σ = 31906957824. Its totient is φ = 4323456000.

The previous prime is 12143443309. The next prime is 12143443313. The reversal of 12143443312 is 21334434121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143443313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613863 + ... + 1621369.

Almost surely, 212143443312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953478912).

12143443312 is an abundant number, since it is smaller than the sum of its proper divisors (19763514512).

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

12143443312 is a wasteful number, since it uses less digits than its factorization.

12143443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7641 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 12143443312 its reverse (21334434121), we get a palindrome (33477877433).

The spelling of 12143443312 in words is "twelve billion, one hundred forty-three million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 101 104 112 143 154 176 182 202 208 286 308 364 404 572 616 707 728 808 1001 1111 1144 1232 1313 1414 1456 1616 2002 2222 2288 2626 2828 4004 4444 5252 5656 7507 7777 8008 8888 9191 10504 11312 14443 15014 15554 16016 17776 18382 21008 28886 30028 31108 36764 52549 57772 60056 62216 73528 82577 97591 101101 105098 115544 120112 124432 147056 165154 195182 202202 210196 231088 330308 390364 404404 420392 578039 660616 683137 758207 780728 808808 840784 1073501 1156078 1321232 1366274 1516414 1561456 1617616 2147002 2312156 2732548 3032828 4294004 4624312 5307449 5465096 6065656 7514507 8340277 8588008 9248624 9856691 10614898 10930192 12131312 15029014 16680554 17176016 19713382 21229796 30058028 33361108 39426764 42459592 58381939 60116056 66722216 68996837 78853528 84919184 108423601 116763878 120232112 133444432 137993674 157707056 216847202 233527756 275987348 433694404 467055512 551974696 758965207 867388808 934111024 1103949392 1517930414 1734777616 3035860828 6071721656 12143443312