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12010111111120 = 2454743914594987
BaseRepresentation
bin1010111011000101001001…
…1010000000111111010000
31120112011012021220202201111
42232301102122000333100
53033233201421023440
641313211402143104
72346462515024413
oct256612232007720
946464167822644
1012010111111120
11391050668a291
12141b781ab1a94
13691719411085
142d74147c5b7a
1515c62592a4ea
hexaec52680fd0

12010111111120 has 160 divisors (see below), whose sum is σ = 28607911833600. Its totient is φ = 4686965088768.

The previous prime is 12010111111067. The next prime is 12010111111121. The reversal of 12010111111120 is 2111111101021.

It is a self number, because there is not a number n which added to its sum of digits gives 12010111111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010111111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408281267 + ... + 2408286253.

It is an arithmetic number, because the mean of its divisors is an integer number (178799448960).

Almost surely, 212010111111120 is an apocalyptic number.

12010111111120 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 12010111111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303955916800).

12010111111120 is an abundant number, since it is smaller than the sum of its proper divisors (16597800722480).

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

12010111111120 is a wasteful number, since it uses less digits than its factorization.

12010111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 12010111111120 its reverse (2111111101021), we get a palindrome (14121222212141).

The spelling of 12010111111120 in words is "twelve trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 439 470 752 878 940 1459 1756 1880 2195 2918 3512 3760 4390 4987 5836 7024 7295 8780 9974 11672 14590 17560 19948 20633 23344 24935 29180 35120 39896 41266 49870 58360 68573 79792 82532 99740 103165 116720 137146 165064 199480 206330 234389 274292 330128 342865 398960 412660 468778 548584 640501 685730 825320 937556 1097168 1171945 1281002 1371460 1650640 1875112 2189293 2343890 2562004 2742920 3202505 3750224 4378586 4687780 5124008 5485840 6405010 7276033 8757172 9375560 10248016 10946465 12810020 14552066 17514344 18751120 21892930 25620040 29104132 30103547 35028688 36380165 43785860 51240080 58208264 60207094 72760330 87571720 102896771 116416528 120414188 145520660 150517735 175143440 205793542 240828376 291041320 301035470 341973551 411587084 481656752 514483855 582082640 602070940 683947102 823174168 1028967710 1204141880 1367894204 1646348336 1709867755 2057935420 2408283760 2735788408 3194178487 3419735510 4115870840 5471576816 6388356974 6839471020 8231741680 12776713948 13678942040 15970892435 25553427896 27357884080 31941784870 51106855792 63883569740 127767139480 150126388889 255534278960 300252777778 600505555556 750631944445 1201011111112 1501263888890 2402022222224 3002527777780 6005055555560 12010111111120