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12021110120120 = 23519111071142123
BaseRepresentation
bin1010111011101110000111…
…1111111001111010111000
31120120012120211111022120012
42232323201333321322320
53033423213142320440
641322231033121052
72350332213042143
oct256734177717270
946505524438505
1012021110120120
113915140300572
121421931559188
1369278007c61a
142d7b794b905a
1515ca6b370e65
hexaeee1ff9eb8

12021110120120 has 64 divisors (see below), whose sum is σ = 27191754915840. Its totient is φ = 4782803241600.

The previous prime is 12021110120119. The next prime is 12021110120161. The reversal of 12021110120120 is 2102101112021.

It is a junction number, because it is equal to n+sod(n) for n = 12021110120095 and 12021110120104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84511379 + ... + 84653501.

It is an arithmetic number, because the mean of its divisors is an integer number (424871170560).

Almost surely, 212021110120120 is an apocalyptic number.

12021110120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021110120120 is an abundant number, since it is smaller than the sum of its proper divisors (15170644795720).

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

12021110120120 is a wasteful number, since it uses less digits than its factorization.

12021110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153396 (or 153392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12021110120120 its reverse (2102101112021), we get a palindrome (14123211232141).

The spelling of 12021110120120 in words is "twelve trillion, twenty-one billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 11071 22142 44284 55355 88568 110710 142123 221420 284246 442840 568492 710615 1136984 1421230 2114561 2842460 4229122 5684920 8458244 10572805 16916488 21145610 27145493 42291220 54290986 84582440 108581972 135727465 217163944 271454930 542909860 1085819720 1573443733 3146887466 6293774932 7867218665 12587549864 15734437330 31468874660 62937749320 300527753003 601055506006 1202111012012 1502638765015 2404222024024 3005277530030 6010555060060 12021110120120