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12111222211120 = 2454717942142743
BaseRepresentation
bin1011000000111101110100…
…0110010000001000110000
31120212211011220021211122001
42300033131012100020300
53041412240341223440
641431452500023344
72360002243136464
oct260173506201060
946784156254561
1012111222211120
11394a38222124a
12143729b991b54
1369b111189926
142dc2872344a4
1516009248eb9a
hexb03dd190230

12111222211120 has 160 divisors (see below), whose sum is σ = 28987736094720. Its totient is φ = 4703616906240.

The previous prime is 12111222211091. The next prime is 12111222211141. The reversal of 12111222211120 is 2111222211121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283328469 + ... + 283371211.

It is an arithmetic number, because the mean of its divisors is an integer number (181173350592).

Almost surely, 212111222211120 is an apocalyptic number.

12111222211120 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 12111222211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493868047360).

12111222211120 is an abundant number, since it is smaller than the sum of its proper divisors (16876513883600).

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

12111222211120 is a wasteful number, since it uses less digits than its factorization.

12111222211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43403 (or 43397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12111222211120 its reverse (2111222211121), we get a palindrome (14222444422241).

Subtracting from 12111222211120 its reverse (2111222211121), we obtain a palindrome (9999999999999).

The spelling of 12111222211120 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 179 188 235 358 376 421 470 716 752 842 895 940 1432 1684 1790 1880 2105 2864 3368 3580 3760 4210 6736 7160 8413 8420 14320 16826 16840 19787 33652 33680 39574 42065 42743 67304 75359 79148 84130 85486 98935 134608 150718 158296 168260 170972 197870 213715 301436 316592 336520 341944 376795 395740 427430 602872 673040 683888 753590 791480 854860 1205744 1507180 1582960 1709720 2008921 3014360 3419440 3541873 4017842 6028720 7083746 7650997 8035684 10044605 14167492 15301994 16071368 17709365 17994803 20089210 28334984 30603988 32142736 35418730 35989606 38254985 40178420 56669968 61207976 70837460 71979212 76509970 80356840 89974015 122415952 141674920 143958424 153019940 160713680 179948030 283349840 287916848 306039880 359596859 359896060 612079760 719193718 719792120 845755741 1438387436 1439584240 1691511482 1797984295 2876774872 3221069737 3383022964 3595968590 4228778705 5753549744 6442139474 6766045928 7191937180 8457557410 12884278948 13532091856 14383874360 16105348685 16915114820 25768557896 28767748720 32210697370 33830229640 51537115792 64421394740 67660459280 128842789480 151390277639 257685578960 302780555278 605561110556 756951388195 1211122221112 1513902776390 2422244442224 3027805552780 6055611105560 12111222211120