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12002102210120 = 23511173445746567
BaseRepresentation
bin1010111010100111010100…
…0010011110111001001000
31120111101112010202102221112
42232221311002132321020
53033120301131210440
641305404543425452
72346060165343001
oct256516502367110
946441463672845
1012002102210120
113908076892440
12141a1078b5288
13690a410a26b9
142d6c94c821a8
1515c307772965
hexaea7509ee48

12002102210120 has 128 divisors (see below), whose sum is σ = 31194204399360. Its totient is φ = 4107463925760.

The previous prime is 12002102210083. The next prime is 12002102210141. The reversal of 12002102210120 is 2101220120021.

12002102210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12002102210095 and 12002102210104.

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, 257715077 + ... + 257761643.

It is an arithmetic number, because the mean of its divisors is an integer number (243704721870).

Almost surely, 212002102210120 is an apocalyptic number.

12002102210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002102210120 is an abundant number, since it is smaller than the sum of its proper divisors (19192102189240).

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

12002102210120 is a wasteful number, since it uses less digits than its factorization.

12002102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81063 (or 81059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002102210120 its reverse (2101220120021), we get a palindrome (14103322330141).

The spelling of 12002102210120 in words is "twelve trillion, two billion, one hundred two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 34457 46567 68914 93134 137828 172285 186268 232835 275656 344570 372536 379027 465670 512237 585769 689140 758054 791639 931340 1024474 1171538 1378280 1516108 1583278 1862680 1895135 2048948 2343076 2561185 2928845 3032216 3166556 3790270 3958195 4097896 4686152 5122370 5857690 6333112 6443459 7580540 7916390 8708029 10244740 11715380 12886918 15161080 15832780 17416058 20489480 23430760 25773836 31665560 32217295 34832116 43540145 51547672 64434590 69664232 87080290 128869180 174160580 257738360 348321160 1604559119 3209118238 6418236476 8022795595 12836472952 16045591190 17650150309 27277505023 32091182380 35300300618 54555010046 64182364760 70600601236 88250751545 109110020092 136387525115 141201202472 176501503090 218220040184 272775050230 300052555253 353003006180 545550100460 600105110506 706006012360 1091100200920 1200210221012 1500262776265 2400420442024 3000525552530 6001051105060 12002102210120