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12321114344 = 23711174128697
BaseRepresentation
bin10110111100110010…
…10100100011101000
31011210200100110102022
423132121110203220
5200213201124334
65354340124012
7614220513110
oct133631244350
934720313368
1012321114344
115252a47630
12247a396608
131214846006
1484c52a040
154c1a5082e
hex2de6548e8

12321114344 has 128 divisors (see below), whose sum is σ = 31241790720. Its totient is φ = 4407705600.

The previous prime is 12321114241. The next prime is 12321114347. The reversal of 12321114344 is 44341112321.

12321114344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12321114347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 415004 + ... + 443700.

It is an arithmetic number, because the mean of its divisors is an integer number (244076490).

Almost surely, 212321114344 is an apocalyptic number.

12321114344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620895360).

12321114344 is an abundant number, since it is smaller than the sum of its proper divisors (18920676376).

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

12321114344 is a wasteful number, since it uses less digits than its factorization.

12321114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779 (or 28775 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 12321114344 its reverse (44341112321), we get a palindrome (56662226665).

The spelling of 12321114344 in words is "twelve billion, three hundred twenty-one million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 41 44 56 68 77 82 88 119 136 154 164 187 238 287 308 328 374 451 476 574 616 697 748 902 952 1148 1309 1394 1496 1804 2296 2618 2788 3157 3608 4879 5236 5576 6314 7667 9758 10472 12628 15334 19516 25256 28697 30668 39032 53669 57394 61336 107338 114788 200879 214676 229576 315667 401758 429352 487849 631334 803516 975698 1176577 1262668 1607032 1951396 2209669 2353154 2525336 3414943 3902792 4419338 4706308 5366339 6829886 8236039 8838676 9412616 10732678 12942347 13659772 16472078 17677352 20001809 21465356 25884694 27319544 32944156 37564373 40003618 42930712 51769388 65888312 75128746 80007236 90596429 103538776 140012663 150257492 160014472 181192858 220019899 280025326 300514984 362385716 440039798 560050652 724771432 880079596 1120101304 1540139293 1760159192 3080278586 6160557172 12321114344