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12322311232 = 267117334253
BaseRepresentation
bin10110111100111011…
…11000110001000000
31011210202121021020111
423132131320301000
5200214002424412
65354421521104
7614233626430
oct133635706100
934722537214
1012322311232
1152536948a0
12247a873194
131214b74a2a
1484c75c2c0
154c1bda2a7
hex2de778c40

12322311232 has 112 divisors (see below), whose sum is σ = 30904232832. Its totient is φ = 4734996480.

The previous prime is 12322311187. The next prime is 12322311233. The reversal of 12322311232 is 23211322321.

12322311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12322311233) 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 15 ways as a sum of consecutive naturals, for example, 342618 + ... + 376870.

Almost surely, 212322311232 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 12322311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452116416).

12322311232 is an abundant number, since it is smaller than the sum of its proper divisors (18581921600).

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

12322311232 is a wasteful number, since it uses less digits than its factorization.

12322311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34356 (or 34346 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 12322311232 its reverse (23211322321), we get a palindrome (35533633553).

The spelling of 12322311232 in words is "twelve billion, three hundred twenty-two million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 146 154 176 224 292 308 352 448 511 584 616 704 803 1022 1168 1232 1606 2044 2336 2464 3212 4088 4672 4928 5621 6424 8176 11242 12848 16352 22484 25696 32704 34253 44968 51392 68506 89936 137012 179872 239771 274024 359744 376783 479542 548048 753566 959084 1096096 1507132 1918168 2192192 2500469 2637481 3014264 3836336 5000938 5274962 6028528 7672672 10001876 10549924 12057056 15345344 17503283 20003752 21099848 24114112 27505159 35006566 40007504 42199696 55010318 70013132 80015008 84399392 110020636 140026264 160030016 168798784 192536113 220041272 280052528 385072226 440082544 560105056 770144452 880165088 1120210112 1540288904 1760330176 3080577808 6161155616 12322311232