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12021112120120 = 23517110587159857
BaseRepresentation
bin1010111011101110001000…
…0111100010001100111000
31120120012120222020221001021
42232323202013202030320
53033423214200320440
641322231144032224
72350332236042065
oct256734207421470
946505528227037
1012021112120120
113915141447164
121421932162674
136927805cca5c
142d7b79879c6c
1515ca6b61884a
hexaeee21e2338

12021112120120 has 64 divisors (see below), whose sum is σ = 28638969936480. Its totient is φ = 4525525917696.

The previous prime is 12021112120051. The next prime is 12021112120133. The reversal of 12021112120120 is 2102121112021.

12021112120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120211121201202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12021112120094 and 12021112120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75119232 + ... + 75279088.

Almost surely, 212021112120120 is an apocalyptic number.

12021112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021112120120 is an abundant number, since it is smaller than the sum of its proper divisors (16617857816360).

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

12021112120120 is a wasteful number, since it uses less digits than its factorization.

12021112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270472 (or 270468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021112120120 its reverse (2102121112021), we get a palindrome (14123233232141).

The spelling of 12021112120120 in words is "twelve trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 110587 159857 221174 319714 442348 552935 639428 799285 884696 1105870 1278856 1598570 1879979 2211740 2717569 3197140 3759958 4423480 5435138 6394280 7519916 9399895 10870276 13587845 15039832 18799790 21740552 27175690 37599580 54351380 75199160 108702760 17678106059 35356212118 70712424236 88390530295 141424848472 176781060590 300527803003 353562121180 601055606006 707124242360 1202111212012 1502639015015 2404222424024 3005278030030 6010556060060 12021112120120