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12123340230320 = 2451173709266177
BaseRepresentation
bin1011000001101010111101…
…1000110100111010110000
31120220222110102110222212222
42300122233120310322300
53042112100044332240
641441215143140212
72360611446454514
oct260325730647260
946828412428788
1012123340230320
113954530561450
121439702144668
1369c2c29038a7
142dcab67b4144
15160551273eb5
hexb06af634eb0

12123340230320 has 160 divisors (see below), whose sum is σ = 31214502411840. Its totient is φ = 4341948088320.

The previous prime is 12123340230271. The next prime is 12123340230361. The reversal of 12123340230320 is 2303204332121.

It is a happy number.

12123340230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12123340230320.

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, 45413072 + ... + 45679248.

It is an arithmetic number, because the mean of its divisors is an integer number (195090640074).

Almost surely, 212123340230320 is an apocalyptic number.

12123340230320 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 12123340230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607251205920).

12123340230320 is an abundant number, since it is smaller than the sum of its proper divisors (19091162181520).

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

12123340230320 is a wasteful number, since it uses less digits than its factorization.

12123340230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266983 (or 266977 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 12123340230320 its reverse (2303204332121), we get a palindrome (14426544562441).

The spelling of 12123340230320 in words is "twelve trillion, one hundred twenty-three billion, three hundred forty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 709 730 803 880 1168 1418 1460 1606 2836 2920 3212 3545 4015 5672 5840 6424 7090 7799 8030 11344 12848 14180 15598 16060 28360 31196 32120 38995 51757 56720 62392 64240 77990 103514 124784 155980 207028 258785 266177 311960 414056 517570 532354 569327 623920 828112 1035140 1064708 1138654 1330885 2070280 2129416 2277308 2661770 2846635 2927947 4140560 4258832 4554616 5323540 5693270 5855894 9109232 10647080 11386540 11711788 14639735 19430921 21294160 22773080 23423576 29279470 38861842 45546160 46847152 58558940 77723684 97154605 117117880 155447368 188719493 194309210 213740131 234235760 310894736 377438986 388618420 427480262 754877972 777236840 854960524 943597465 1068700655 1509755944 1554473680 1709921048 1887194930 2075914423 2137401310 3019511888 3419842096 3774389860 4151828846 4274802620 7548779720 8303657692 8549605240 10379572115 13776522989 15097559440 16607315384 17099210480 20759144230 27553045978 33214630768 41518288460 55106091956 68882614945 83036576920 110212183912 137765229890 151541752879 166073153840 220424367824 275530459780 303083505758 551060919560 606167011516 757708764395 1102121839120 1212334023032 1515417528790 2424668046064 3030835057580 6061670115160 12123340230320