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121171719312 = 2434713356671
BaseRepresentation
bin111000011011001100…
…1011011010010010000
3102120202122222010020000
41300312121123102100
53441124430004222
6131355430250000
711516514422460
oct1606631332220
9376678863200
10121171719312
1147430305196
121b5981b6900
13b570b892c7
145c16bd3ba0
153242ca69ac
hex1c3665b490

121171719312 has 100 divisors (see below), whose sum is σ = 400807013376. Its totient is φ = 34620488640.

The previous prime is 121171719311. The next prime is 121171719313. The reversal of 121171719312 is 213917171121.

It is an interprime number because it is at equal distance from previous prime (121171719311) and next prime (121171719313).

It is a super-2 number, since 2×1211717193122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121171719311) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6669264 + ... + 6687407.

Almost surely, 2121171719312 is an apocalyptic number.

121171719312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121171719312 is an abundant number, since it is smaller than the sum of its proper divisors (279635294064).

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

121171719312 is a wasteful number, since it uses less digits than its factorization.

121171719312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356698 (or 13356683 counting only the distinct ones).

The product of its digits is 5292, while the sum is 36.

The spelling of 121171719312 in words is "one hundred twenty-one billion, one hundred seventy-one million, seven hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 13356671 26713342 40070013 53426684 80140026 93496697 106853368 120210039 160280052 186993394 213706736 240420078 280490091 320560104 360630117 373986788 480840156 560980182 641120208 721260234 747973576 841470273 961680312 1081890351 1121960364 1442520468 1495947152 1682940546 1923360624 2163780702 2243920728 2524410819 2885040936 3365881092 4327561404 4487841456 5048821638 5770081872 6731762184 7573232457 8655122808 10097643276 13463524368 15146464914 17310245616 20195286552 30292929828 40390573104 60585859656 121171719312