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12021011010120 = 23357109131291077
BaseRepresentation
bin1010111011101101110000…
…0101110101001001001000
31120120012022221000000012110
42232323130011311021020
53033423012304310440
641322213132542320
72350326600444540
oct256733405651110
946505287000173
1012021011010120
11391509a367782
1214219043219a0
1369276568ac58
142d7b6a27a320
1515ca627e5080
hexaeedc175248

12021011010120 has 128 divisors (see below), whose sum is σ = 41593013510400. Its totient is φ = 2722451751936.

The previous prime is 12021011010101. The next prime is 12021011010139. The reversal of 12021011010120 is 2101011012021.

12021011010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021011010101) and next prime (12021011010139).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021011010096 and 12021011010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65553979 + ... + 65737098.

It is an arithmetic number, because the mean of its divisors is an integer number (324945418050).

Almost surely, 212021011010120 is an apocalyptic number.

12021011010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021011010120 is an abundant number, since it is smaller than the sum of its proper divisors (29572002500280).

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

12021011010120 is a wasteful number, since it uses less digits than its factorization.

12021011010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131291207 (or 131291203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12021011010120 its reverse (2101011012021), we get a palindrome (14122022022141).

The spelling of 12021011010120 in words is "twelve trillion, twenty-one billion, eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 168 210 218 280 327 420 436 545 654 763 840 872 1090 1308 1526 1635 2180 2289 2616 3052 3270 3815 4360 4578 6104 6540 7630 9156 11445 13080 15260 18312 22890 30520 45780 91560 131291077 262582154 393873231 525164308 656455385 787746462 919037539 1050328616 1312910770 1575492924 1838075078 1969366155 2625821540 2757112617 3150985848 3676150156 3938732310 4595187695 5251643080 5514225234 7352300312 7877464620 9190375390 11028450468 13785563085 14310727393 15754929240 18380750780 22056900936 27571126170 28621454786 36761501560 42932182179 55142252340 57242909572 71553636965 85864364358 100175091751 110284504680 114485819144 143107273930 171728728716 200350183502 214660910895 286214547860 300525275253 343457457432 400700367004 429321821790 500875458755 572429095720 601050550506 801400734008 858643643580 1001750917510 1202101101012 1502626376265 1717287287160 2003501835020 2404202202024 3005252752530 4007003670040 6010505505060 12021011010120