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12124242313350 = 2352292319130119
BaseRepresentation
bin1011000001101110010100…
…1010000000000010000110
31120221001210021220120011120
42300123211022000002012
53042120422013011400
641441444450014410
72360643012160266
oct260334512000206
946831707816146
1012124242313350
113954953786812
121439914277406
1369c40777942b
142dcb605137a6
151605a5562ca0
hexb06e5280086

12124242313350 has 144 divisors (see below), whose sum is σ = 31151498676480. Its totient is φ = 3120562121600.

The previous prime is 12124242313333. The next prime is 12124242313357. The reversal of 12124242313350 is 5331324242121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124242313357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402529591 + ... + 402559709.

It is an arithmetic number, because the mean of its divisors is an integer number (216329851920).

Almost surely, 212124242313350 is an apocalyptic number.

12124242313350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124242313350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575749338240).

12124242313350 is an abundant number, since it is smaller than the sum of its proper divisors (19027256363130).

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

12124242313350 is a wasteful number, since it uses less digits than its factorization.

12124242313350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33383 (or 33349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 12124242313350 its reverse (5331324242121), we get a palindrome (17455566555471).

The spelling of 12124242313350 in words is "twelve trillion, one hundred twenty-four billion, two hundred forty-two million, three hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 841 870 1450 1682 2175 2523 3191 4205 4350 5046 6382 8410 9573 12615 15955 19146 21025 25230 30119 31910 42050 47865 60238 63075 79775 90357 92539 95730 126150 150595 159550 180714 185078 239325 277617 301190 451785 462695 478650 555234 752975 873451 903570 925390 1388085 1505950 1746902 2258925 2313475 2620353 2683631 2776170 4367255 4517850 4626950 5240706 5367262 6940425 8050893 8734510 13101765 13418155 13880850 16101786 21836275 25330079 26203530 26836310 40254465 43672550 50660158 65508825 67090775 75990237 80508930 96109729 126650395 131017650 134181550 151980474 192219458 201272325 253300790 288329187 379951185 402544650 480548645 576658374 633251975 759902370 961097290 1266503950 1441645935 1899755925 2402743225 2787182141 2883291870 3799511850 4805486450 5574364282 7208229675 8361546423 13935910705 14416459350 16723092846 27871821410 41807732115 69679553525 80828282089 83615464230 139359107050 161656564178 209038660575 242484846267 404141410445 418077321150 484969692534 808282820890 1212424231335 2020707052225 2424848462670 4041414104450 6062121156675 12124242313350