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12104440340120 = 23517269479913789
BaseRepresentation
bin1011000000100100100011…
…0111011101111010011000
31120212011200021000002120122
42300021020313131322120
53041304343211340440
641424411513012412
72356342213162022
oct260111067357230
946764607002518
1012104440340120
113947512012187
121435b086b4108
1369a5a01178cb
142dbc02659012
1515ece6db17b5
hexb0248ddde98

12104440340120 has 128 divisors (see below), whose sum is σ = 28952380800000. Its totient is φ = 4538750164992.

The previous prime is 12104440340089. The next prime is 12104440340141. The reversal of 12104440340120 is 2104304440121.

It is a super-2 number, since 2×121044403401202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12104440340120.

It is a congruent number.

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, 877826186 + ... + 877839974.

It is an arithmetic number, because the mean of its divisors is an integer number (226190475000).

Almost surely, 212104440340120 is an apocalyptic number.

12104440340120 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 12104440340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476190400000).

12104440340120 is an abundant number, since it is smaller than the sum of its proper divisors (16847940459880).

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

12104440340120 is a wasteful number, since it uses less digits than its factorization.

12104440340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12104440340120 its reverse (2104304440121), we get a palindrome (14208744780241).

The spelling of 12104440340120 in words is "twelve trillion, one hundred four billion, four hundred forty million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 269 340 538 680 1076 1345 2152 2690 4573 4799 5380 9146 9598 10760 13789 18292 19196 22865 23995 27578 36584 38392 45730 47990 55156 68945 81583 91460 95980 110312 137890 163166 182920 191960 234413 275780 326332 407915 468826 551560 652664 815830 937652 1172065 1290931 1631660 1875304 2344130 2581862 3263320 3709241 4688260 5163724 6454655 7418482 9376520 10327448 12909310 14836964 18546205 21945827 25818620 29673928 37092410 43891654 51637240 63057097 66173411 74184820 87783308 109729135 126114194 132346822 148369640 175566616 219458270 252228388 264693644 315285485 330867055 438916540 504456776 529387288 630570970 661734110 877833080 1124947987 1261141940 1323468220 2249895974 2522283880 2646936440 4499791948 5624739935 8999583896 11249479870 17800647559 22498959740 35601295118 44997919480 71202590236 89003237795 142405180472 178006475590 302611008503 356012951180 605222017006 712025902360 1210444034012 1513055042515 2420888068024 3026110085030 6052220170060 12104440340120