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12231186396 = 22311132599293
BaseRepresentation
bin10110110010000100…
…10001011111011100
31011120102010122110120
423121002101133130
5200022140431041
65341404434540
7612046240362
oct133102213734
934512118416
1012231186396
115207205410
122454248a50
1311cc01ab00
148405db632
154b8bda366
hex2d90917dc

12231186396 has 144 divisors (see below), whose sum is σ = 34288168320. Its totient is φ = 3362960640.

The previous prime is 12231186377. The next prime is 12231186397. The reversal of 12231186396 is 69368113221.

12231186396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231186397) 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 47 ways as a sum of consecutive naturals, for example, 1311526 + ... + 1320818.

It is an arithmetic number, because the mean of its divisors is an integer number (238112280).

Almost surely, 212231186396 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 12231186396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144084160).

12231186396 is an abundant number, since it is smaller than the sum of its proper divisors (22056981924).

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

12231186396 is a wasteful number, since it uses less digits than its factorization.

12231186396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9381 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 12231186396 in words is "twelve billion, two hundred thirty-one million, one hundred eighty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 169 177 236 286 338 354 429 507 572 649 676 708 767 858 1014 1298 1534 1716 1859 1947 2028 2301 2596 3068 3718 3894 4602 5577 7436 7788 8437 9204 9293 9971 11154 16874 18586 19942 22308 25311 27879 29913 33748 37172 39884 50622 55758 59826 101244 102223 109681 111516 119652 120809 204446 219362 241618 306669 329043 362427 408892 438724 483236 548287 613338 658086 724854 1096574 1226676 1316172 1328899 1449708 1570517 1644861 2193148 2657798 3141034 3289722 3986697 4711551 5315596 6031157 6282068 6579444 7127731 7973394 9423102 12062314 14255462 15946788 17275687 18093471 18846204 21383193 24124628 28510924 34551374 36186942 42766386 51827061 69102748 72373884 78405041 85532772 92660503 103654122 156810082 185321006 207308244 235215123 277981509 313620164 370642012 470430246 555963018 940860492 1019265533 1111926036 2038531066 3057796599 4077062132 6115593198 12231186396