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12241210041320 = 23513291249649921
BaseRepresentation
bin1011001000100010000011…
…1110011110001111101000
31121100020200222022210102112
42302020200332132033220
53101024444232310240
642011311222221452
72402253411356411
oct262104076361750
947306628283375
1012241210041320
11399a516a38a97
121458518584888
136aa4586900a0
14304698c52808
1516364e1ec665
hexb2220f9e3e8

12241210041320 has 128 divisors (see below), whose sum is σ = 30708814500000. Its totient is φ = 4360474460160.

The previous prime is 12241210041299. The next prime is 12241210041323. The reversal of 12241210041320 is 2314001214221.

It can be written as a sum of positive squares in 16 ways, for example, as 322346116 + 12240887695204 = 17954^2 + 3498698^2 .

It is a super-2 number, since 2×122412100413202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12241210041323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18509960 + ... + 19159880.

Almost surely, 212241210041320 is an apocalyptic number.

12241210041320 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 12241210041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354407250000).

12241210041320 is an abundant number, since it is smaller than the sum of its proper divisors (18467604458680).

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

12241210041320 is a wasteful number, since it uses less digits than its factorization.

12241210041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651223 (or 651219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12241210041320 its reverse (2314001214221), we get a palindrome (14555211255541).

The spelling of 12241210041320 in words is "twelve trillion, two hundred forty-one billion, two hundred ten million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1249 1508 1885 2498 3016 3770 4996 6245 7540 9992 12490 15080 16237 24980 32474 36221 49960 64948 72442 81185 129896 144884 162370 181105 289768 324740 362210 470873 649480 649921 724420 941746 1299842 1448840 1883492 2354365 2599684 3249605 3766984 4708730 5199368 6499210 8448973 9417460 12998420 16897946 18834920 18847709 25996840 33795892 37695418 42244865 67591784 75390836 84489730 94238545 150781672 168979460 188477090 245020217 337958920 376954180 490040434 753908360 811751329 980080868 1225101085 1623502658 1960161736 2450202170 3247005316 4058756645 4900404340 6494010632 8117513290 9800808680 10552767277 16235026580 21105534554 23540788541 32470053160 42211069108 47081577082 52763836385 84422138216 94163154164 105527672770 117703942705 188326308328 211055345540 235407885410 306030251033 422110691080 470815770820 612060502066 941631541640 1224121004132 1530151255165 2448242008264 3060302510330 6120605020660 12241210041320