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12123324241340 = 225131371103308569
BaseRepresentation
bin1011000001101010111001…
…1011110101010110111100
31120220222102022101200010112
42300122232123311112330
53042112032001210330
641441213412325152
72360611163532434
oct260325633652674
946828368350115
1012123324241340
113954522530714
1214396b89137b8
1369c2bc4c6060
142dcab46112c4
1516054eb66795
hexb06ae6f55bc

12123324241340 has 96 divisors (see below), whose sum is σ = 27642618904320. Its totient is φ = 4439587516416.

The previous prime is 12123324241339. The next prime is 12123324241361. The reversal of 12123324241340 is 4314242332121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12123324241297 and 12123324241306.

It is a congruent number.

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, 39134576 + ... + 39443144.

It is an arithmetic number, because the mean of its divisors is an integer number (287943946920).

Almost surely, 212123324241340 is an apocalyptic number.

12123324241340 is a gapful number since it is divisible by the number (10) 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 12123324241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821309452160).

12123324241340 is an abundant number, since it is smaller than the sum of its proper divisors (15519294662980).

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

12123324241340 is a wasteful number, since it uses less digits than its factorization.

12123324241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309831 (or 309829 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12123324241340 its reverse (4314242332121), we get a palindrome (16437566573461).

The spelling of 12123324241340 in words is "twelve trillion, one hundred twenty-three billion, three hundred twenty-four million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1103 1370 1781 2206 2740 3562 4412 5515 7124 8905 11030 14339 17810 22060 28678 35620 57356 71695 143390 151111 286780 302222 308569 604444 617138 755555 1234276 1511110 1542845 1964443 3022220 3085690 3928886 4011397 6171380 7857772 8022794 9822215 16045588 19644430 20056985 39288860 40113970 42273953 80227940 84547906 169095812 211369765 340351607 422739530 549561389 680703214 845479060 1099122778 1361406428 1701758035 2198245556 2747806945 3403516070 4424570891 5495613890 6807032140 8849141782 10991227780 17698283564 22122854455 44245708910 46628170159 88491417820 93256340318 186512680636 233140850795 466281701590 606166212067 932563403180 1212332424134 2424664848268 3030831060335 6061662120670 12123324241340