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12123224430344 = 2329617130739301
BaseRepresentation
bin1011000001101010100001…
…1111000101011100001000
31120220222011100120202011222
42300122220133011130020
53042111330423232334
641441155445141212
72360605542255326
oct260325037053410
946828140522158
1012123224430344
113954481159195
12143968b3ba808
1369c2a491a5b1
142dcaa526cd16
15160545eecd2e
hexb06a87c5708

12123224430344 has 128 divisors (see below), whose sum is σ = 24316556140800. Its totient is φ = 5656936320000.

The previous prime is 12123224430329. The next prime is 12123224430391. The reversal of 12123224430344 is 44303442232121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308451494 + ... + 308490794.

It is an arithmetic number, because the mean of its divisors is an integer number (189973094850).

Almost surely, 212123224430344 is an apocalyptic number.

It is an amenable number.

12123224430344 is an abundant number, since it is smaller than the sum of its proper divisors (12193331710456).

12123224430344 is a wasteful number, since it uses less digits than its factorization.

12123224430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39775 (or 39771 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 12123224430344 its reverse (44303442232121), we get a palindrome (56426666662465).

The spelling of 12123224430344 in words is "twelve trillion, one hundred twenty-three billion, two hundred twenty-four million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 8 29 58 61 71 116 122 142 232 244 284 307 488 568 614 1228 1769 2059 2456 3538 4118 4331 7076 8236 8662 8903 14152 16472 17324 17806 18727 21797 34648 35612 37454 39301 43594 71224 74908 78602 87188 125599 149816 157204 174376 251198 314408 502396 543083 632113 1004792 1086166 1139729 1264226 1329617 2172332 2279458 2397361 2528452 2659234 2790371 4344664 4558916 4794722 5056904 5318468 5580742 9117832 9589444 10636936 11161484 12065407 19178888 22322968 24130814 38558893 48261628 69523469 77117786 80920759 96523256 139046938 154235572 161841518 170212631 278093876 308471144 323683036 340425262 349896803 556187752 647366072 680850524 699793606 735989827 856643897 1361701048 1399587212 1471979654 1713287794 2799174424 2943959308 3426575588 4936166299 5887918616 6853151176 9872332598 19744665196 21343704983 24842673013 39489330392 42687409966 49685346026 52255277717 85374819932 99370692052 104510555434 170749639864 198741384104 209021110868 418042221736 1515403053793 3030806107586 6061612215172 12123224430344