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12230132111142 = 231131101223265399
BaseRepresentation
bin1011000111111000110010…
…1011100001011100100110
31121022012002221020122002020
42301332030223201130212
53100334302310024032
642002240051524010
72401412034461031
oct261761453413446
947265087218066
1012230132111142
1139958518130a0
1214563465b9606
136a93b157b50a
14303d27898018
151632018b7b2c
hexb1f8cae1726

12230132111142 has 128 divisors (see below), whose sum is σ = 27942263193600. Its totient is φ = 3535101360000.

The previous prime is 12230132111101. The next prime is 12230132111179. The reversal of 12230132111142 is 24111123103221.

It is a super-2 number, since 2×122301321111422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45949359 + ... + 46214757.

It is an arithmetic number, because the mean of its divisors is an integer number (218298931200).

Almost surely, 212230132111142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230132111142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971131596800).

12230132111142 is an abundant number, since it is smaller than the sum of its proper divisors (15712131082458).

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

12230132111142 is a wasteful number, since it uses less digits than its factorization.

12230132111142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265770.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12230132111142 its reverse (24111123103221), we get a palindrome (36341255214363).

The spelling of 12230132111142 in words is "twelve trillion, two hundred thirty billion, one hundred thirty-two million, one hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 223 303 341 446 606 669 682 1023 1111 1338 2046 2222 2453 3131 3333 4906 6262 6666 6913 7359 9393 13826 14718 18786 20739 22523 34441 41478 45046 67569 68882 76043 103323 135138 152086 206646 228129 247753 265399 456258 495506 530798 698213 743259 796197 1396426 1486518 1592394 2094639 2919389 4189278 5838778 7680343 8227369 8758167 15360686 16454738 17516334 23041029 24682107 26805299 46082058 49364214 53610598 59183977 80415897 90501059 118367954 160831794 177551931 181002118 271503177 294858289 355103862 543006354 589716578 651023747 830964269 884574867 1302047494 1661928538 1769149734 1834703287 1953071241 2492892807 3669406574 3906142482 4985785614 5504109861 5977581677 9140606959 11008219722 11955163354 17932745031 18281213918 20181736157 27421820877 35865490062 40363472314 54843641754 60545208471 65753398447 121090416942 131506796894 185305031987 197260195341 370610063974 394520390682 555915095961 1111830191922 2038355351857 4076710703714 6115066055571 12230132111142