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12021201120120 = 2335412719015991
BaseRepresentation
bin1010111011101110011101…
…1011000010101101111000
31120120012211011201121002120
42232323213123002231320
53033423404441320440
641322244043401240
72350334366401233
oct256734733025570
946505734647076
1012021201120120
113915187705185
121421957b23220
13692795b9178a
142d7b8760641a
1515ca74348dd0
hexaeee76c2b78

12021201120120 has 128 divisors (see below), whose sum is σ = 37079529338880. Its totient is φ = 3115926144000.

The previous prime is 12021201120023. The next prime is 12021201120133. The reversal of 12021201120120 is 2102110212021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021201120120.

It is a congruent number.

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, 3174676 + ... + 5841315.

It is an arithmetic number, because the mean of its divisors is an integer number (289683822960).

Almost surely, 212021201120120 is an apocalyptic number.

12021201120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021201120120 is an abundant number, since it is smaller than the sum of its proper divisors (25058328218760).

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

12021201120120 is a wasteful number, since it uses less digits than its factorization.

12021201120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016317 (or 9016313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12021201120120 its reverse (2102110212021), we get a palindrome (14123311332141).

The spelling of 12021201120120 in words is "twelve trillion, twenty-one billion, two hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 271 328 410 492 542 615 813 820 984 1084 1230 1355 1626 1640 2168 2460 2710 3252 4065 4920 5420 6504 8130 10840 11111 16260 22222 32520 33333 44444 55555 66666 88888 111110 133332 166665 222220 266664 333330 444440 666660 1333320 9015991 18031982 27047973 36063964 45079955 54095946 72127928 90159910 108191892 135239865 180319820 216383784 270479730 360639640 369655631 540959460 739311262 1081918920 1108966893 1478622524 1848278155 2217933786 2443333561 2957245048 3696556310 4435867572 4886667122 5544834465 7330000683 7393112620 8871735144 9773334244 11089668930 12216667805 14660001366 14786225240 19546668488 22179337860 24433335610 29320002732 36650003415 44358675720 48866671220 58640005464 73300006830 97733342440 100176676001 146600013660 200353352002 293200027320 300530028003 400706704004 500883380005 601060056006 801413408008 1001766760010 1202120112012 1502650140015 2003533520020 2404240224024 3005300280030 4007067040040 6010600560060 12021201120120