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12412403103320 = 23511711543257501
BaseRepresentation
bin1011010010011111110011…
…1000001011011001011000
31121221121120201021101221022
42310213330320023121120
53111331100143301240
642222102415502012
72420523630365423
oct264477470133130
947847521241838
1012412403103320
113a56085a63310
121485734827908
136c063b84c6cc
1430ca991309ba
15167d1d6629b5
hexb49fce0b658

12412403103320 has 128 divisors (see below), whose sum is σ = 30916060922880. Its totient is φ = 4447128000000.

The previous prime is 12412403103313. The next prime is 12412403103437. The reversal of 12412403103320 is 2330130421421.

It is a self number, because there is not a number n which added to its sum of digits gives 12412403103320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48074570 + ... + 48332070.

It is an arithmetic number, because the mean of its divisors is an integer number (241531725960).

Almost surely, 212412403103320 is an apocalyptic number.

12412403103320 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 12412403103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458030461440).

12412403103320 is an abundant number, since it is smaller than the sum of its proper divisors (18503657819560).

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

12412403103320 is a wasteful number, since it uses less digits than its factorization.

12412403103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259137 (or 259133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12412403103320 its reverse (2330130421421), we get a palindrome (14742533524741).

The spelling of 12412403103320 in words is "twelve trillion, four hundred twelve billion, four hundred three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1543 1562 2840 3086 3124 3905 6172 6248 7715 7810 12344 15430 15620 16973 30860 31240 33946 61720 67892 84865 109553 135784 169730 219106 257501 339460 438212 515002 547765 678920 876424 1030004 1095530 1205083 1287505 2060008 2191060 2410166 2575010 2832511 4382120 4820332 5150020 5665022 6025415 9640664 10300040 11330044 12050830 14162555 18282571 22660088 24101660 28325110 36565142 48203320 56650220 73130284 91412855 113300440 146260568 182825710 201108281 365651420 397324043 402216562 731302840 794648086 804433124 1005541405 1589296172 1608866248 1986620215 2011082810 3178592344 3973240430 4022165620 4370564473 7946480860 8044331240 8741128946 15892961720 17482257892 21852822365 28210007053 34964515784 43705644730 56420014106 87411289460 112840028212 141050035265 174822578920 225680056424 282100070530 310310077583 564200141060 620620155166 1128400282120 1241240310332 1551550387915 2482480620664 3103100775830 6206201551660 12412403103320