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12230311421040 = 2435232693822739
BaseRepresentation
bin1011000111111001011101…
…0111100010010001110000
31121022012120102122112000120
42301332113113202101300
53100340134210433130
642002305535050240
72401416342543306
oct261762727422160
947265512575016
1012230311421040
113995933a54299
121456396670980
136a940c77024b
14303d43612276
151632124d6910
hexb1f975e2470

12230311421040 has 160 divisors (see below), whose sum is σ = 39577137615360. Its totient is φ = 3118453459968.

The previous prime is 12230311421011. The next prime is 12230311421057. The reversal of 12230311421040 is 4012411303221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12230311421040.

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, 14453991 + ... + 15276729.

It is an arithmetic number, because the mean of its divisors is an integer number (247357110096).

Almost surely, 212230311421040 is an apocalyptic number.

12230311421040 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 12230311421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788568807680).

12230311421040 is an abundant number, since it is smaller than the sum of its proper divisors (27346826194320).

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

12230311421040 is a wasteful number, since it uses less digits than its factorization.

12230311421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825471 (or 825465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12230311421040 its reverse (4012411303221), we get a palindrome (16242722724261).

The spelling of 12230311421040 in words is "twelve trillion, two hundred thirty billion, three hundred eleven million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2693 2760 5386 5520 8079 10772 13465 16158 21544 26930 32316 40395 43088 53860 61939 64632 80790 107720 123878 129264 161580 185817 215440 247756 309695 323160 371634 495512 619390 646320 743268 822739 929085 991024 1238780 1486536 1645478 1858170 2468217 2477560 2973072 3290956 3716340 4113695 4936434 4955120 6581912 7432680 8227390 9872868 12341085 13163824 14865360 16454780 18922997 19745736 24682170 32909560 37845994 39491472 49364340 56768991 65819120 75691988 94614985 98728680 113537982 151383976 189229970 197457360 227075964 283844955 302767952 378459940 454151928 567689910 756919880 908303856 1135379820 1513839760 2215636127 2270759640 4431272254 4541519280 6646908381 8862544508 11078180635 13293816762 17725089016 22156361270 26587633524 33234541905 35450178032 44312722540 50959630921 53175267048 66469083810 88625445080 101919261842 106350534096 132938167620 152878892763 177250890160 203838523684 254798154605 265876335240 305757785526 407677047368 509596309210 531752670480 611515571052 764394463815 815354094736 1019192618420 1223031142104 1528788927630 2038385236840 2446062284208 3057577855260 4076770473680 6115155710520 12230311421040