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12233010123312 = 24311101237196749
BaseRepresentation
bin1011001000000011100000…
…1110010001001000110000
31121022110112111201210120120
42302000320032101020300
53100411201042421222
642003433421410240
72401543252253046
oct262007016211060
947273474653516
1012233010123312
113996a99334250
121456a0a409980
136a974c8c10b4
1430411bbc8396
1516331e3b215c
hexb2038391230

12233010123312 has 160 divisors (see below), whose sum is σ = 34831226016000. Its totient is φ = 3668684160000.

The previous prime is 12233010123289. The next prime is 12233010123353. The reversal of 12233010123312 is 21332101033221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126392314 + ... + 126489062.

It is an arithmetic number, because the mean of its divisors is an integer number (217695162600).

Almost surely, 212233010123312 is an apocalyptic number.

12233010123312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233010123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415613008000).

12233010123312 is an abundant number, since it is smaller than the sum of its proper divisors (22598215892688).

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

12233010123312 is a wasteful number, since it uses less digits than its factorization.

12233010123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99243 (or 99237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12233010123312 its reverse (21332101033221), we get a palindrome (33565111156533).

Subtracting 12233010123312 from its reverse (21332101033221), we obtain a palindrome (9099090909909).

The spelling of 12233010123312 in words is "twelve trillion, two hundred thirty-three billion, ten million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2371 2424 3333 4444 4742 4848 6666 7113 8888 9484 13332 14226 17776 18968 26081 26664 28452 37936 52162 53328 56904 78243 96749 104324 113808 156486 193498 208648 239471 290247 312972 386996 417296 478942 580494 625944 718413 773992 957884 1064239 1160988 1251888 1436826 1547984 1915768 2128478 2321976 2634181 2873652 3192717 3831536 4256956 4643952 5268362 5747304 6385434 7902543 8513912 9771649 10536724 11494608 12770868 15805086 17027824 19543298 21073448 25541736 29314947 31610172 39086596 42146896 51083472 58629894 63220344 78173192 107488139 117259788 126440688 156346384 214976278 229391879 234519576 322464417 429952556 458783758 469039152 644928834 688175637 859905112 917567516 1289857668 1376351274 1719810224 1835135032 2523310669 2579715336 2752702548 3670270064 5046621338 5159430672 5505405096 7569932007 10093242676 11010810192 15139864014 20186485352 23168579779 30279728028 40372970704 46337159558 60559456056 69505739337 92674319116 121118912112 139011478674 185348638232 254854377569 278022957348 370697276464 509708755138 556045914696 764563132707 1019417510276 1112091829392 1529126265414 2038835020552 3058252530828 4077670041104 6116505061656 12233010123312