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12131021322 = 2337611015209
BaseRepresentation
bin10110100110001000…
…01011001000001010
31011022102122201211000
423103010023020022
5144321020140242
65323425515430
7606421660050
oct132304131012
934272581730
1012131021322
115165710962
1224267a2b76
1311b434a134
148311a61d0
154b0001a4c
hex2d310b20a

12131021322 has 128 divisors (see below), whose sum is σ = 31630118400. Its totient is φ = 3374784000.

The previous prime is 12131021321. The next prime is 12131021327. The reversal of 12131021322 is 22312013121.

12131021322 is a `hidden beast` number, since 12 + 1 + 310 + 21 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12131021295 and 12131021304.

It is not an unprimeable number, because it can be changed into a prime (12131021321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2326254 + ... + 2331462.

It is an arithmetic number, because the mean of its divisors is an integer number (247110300).

Almost surely, 212131021322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815059200).

12131021322 is an abundant number, since it is smaller than the sum of its proper divisors (19499097078).

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

12131021322 is a wasteful number, since it uses less digits than its factorization.

12131021322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12131021322 its reverse (22312013121), we get a palindrome (34443034443).

The spelling of 12131021322 in words is "twelve billion, one hundred thirty-one million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 101 122 126 183 189 202 303 366 378 427 549 606 707 854 909 1098 1281 1414 1647 1818 2121 2562 2727 3294 3843 4242 5209 5454 6161 6363 7686 10418 11529 12322 12726 15627 18483 19089 23058 31254 36463 36966 38178 43127 46881 55449 72926 86254 93762 109389 110898 129381 140643 166347 218778 258762 281286 317749 328167 332694 388143 526109 635498 656334 776286 953247 984501 1052218 1164429 1578327 1906494 1969002 2224243 2328858 2859741 3156654 3682763 4448486 4734981 5719482 6672729 7365526 8579223 9469962 11048289 13345458 14204943 17158446 20018187 22096578 28409886 32092649 33144867 40036374 60054561 64185298 66289734 96277947 99434601 120109122 192555894 198869202 224648543 288833841 449297086 577667682 673945629 866501523 1347891258 1733003046 2021836887 4043673774 6065510661 12131021322