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12110212212020 = 22513234321095251
BaseRepresentation
bin1011000000111010000011…
…1001011010010100110100
31120212201120111210120022222
42300032200321122110310
53041403203311241040
641431204340141512
72356635230241626
oct260164071322464
946781514716288
1012110212212020
113949a04098a4a
121437059697898
1369acacb5b420
142dc1cd042c16
15160033985bb5
hexb03a0e5a534

12110212212020 has 144 divisors (see below), whose sum is σ = 29258579452032. Its totient is φ = 4177581408000.

The previous prime is 12110212212013. The next prime is 12110212212041. The reversal of 12110212212020 is 2021221201121.

It is a self number, because there is not a number n which added to its sum of digits gives 12110212212020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10509395 + ... + 11604645.

It is an arithmetic number, because the mean of its divisors is an integer number (203184579528).

Almost surely, 212110212212020 is an apocalyptic number.

12110212212020 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 12110212212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629289726016).

12110212212020 is an abundant number, since it is smaller than the sum of its proper divisors (17148367240012).

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

12110212212020 is a wasteful number, since it uses less digits than its factorization.

12110212212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095382 (or 1095337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12110212212020 its reverse (2021221201121), we get a palindrome (14131433413141).

The spelling of 12110212212020 in words is "twelve trillion, one hundred ten billion, two hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 43 46 52 65 86 92 115 130 172 215 230 260 299 430 460 559 598 860 989 1118 1196 1495 1849 1978 2236 2795 2990 3698 3956 4945 5590 5980 7396 9245 9890 11180 12857 18490 19780 24037 25714 36980 42527 48074 51428 64285 85054 96148 120185 128570 170108 212635 240370 257140 425270 480740 552851 850540 1095251 1105702 2190502 2211404 2764255 4381004 5476255 5528510 10952510 11057020 14238263 21905020 25190773 28476526 47095793 50381546 56953052 71191315 94191586 100763092 125953865 142382630 188383172 235478965 251907730 284765260 327480049 470957930 503815460 612245309 654960098 941915860 1083203239 1224490618 1309920196 1637400245 2025119099 2166406478 2448981236 3061226545 3274800490 4050238198 4332812956 5416016195 6122453090 6549600980 8100476396 10125595495 10832032390 12244906180 14081642107 20251190990 21664064780 26326548287 28163284214 40502381980 46577739277 52653096574 56326568428 70408210535 93155478554 105306193148 131632741435 140816421070 186310957108 232888696385 263265482870 281632842140 465777392770 526530965740 605510610601 931554785540 1211021221202 2422042442404 3027553053005 6055106106010 12110212212020