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12230437128 = 23371323243479
BaseRepresentation
bin10110110001111110…
…11010100100001000
31011120100201120122220
423120333122210020
5200021442442003
65341340414040
7612040000050
oct133077324410
934510646586
1012230437128
115206843488
122453b47320
1311cbb17a60
14840484560
154b8add353
hex2d8fda908

12230437128 has 128 divisors (see below), whose sum is σ = 39268454400. Its totient is φ = 3085353216.

The previous prime is 12230437081. The next prime is 12230437139. The reversal of 12230437128 is 82173403221.

12230437128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 71508 + ... + 171971.

It is an arithmetic number, because the mean of its divisors is an integer number (306784800).

Almost surely, 212230437128 is an apocalyptic number.

It is an amenable number.

12230437128 is an abundant number, since it is smaller than the sum of its proper divisors (27038017272).

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

12230437128 is a wasteful number, since it uses less digits than its factorization.

12230437128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243531 (or 243527 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 12230437128 in words is "twelve billion, two hundred thirty million, four hundred thirty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 546 552 598 644 728 897 966 1092 1196 1288 1794 1932 2093 2184 2392 3588 3864 4186 6279 7176 8372 12558 16744 25116 50232 243479 486958 730437 973916 1460874 1704353 1947832 2921748 3165227 3408706 5113059 5600017 5843496 6330454 6817412 9495681 10226118 11200034 12660908 13634824 16800051 18991362 20452236 22156589 22400068 25321816 33600102 37982724 39200119 40904472 44313178 44800136 66469767 67200204 72800221 75965448 78400238 88626356 117600357 132939534 134400408 145600442 156800476 177252712 218400663 235200714 265879068 291200884 313600952 436801326 470401428 509601547 531758136 582401768 873602652 940802856 1019203094 1528804641 1747205304 2038406188 3057609282 4076812376 6115218564 12230437128