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12011212121000 = 2353191247350683
BaseRepresentation
bin1010111011001001010000…
…0010000010001110101000
31120112021001000122212100012
42232302110002002032220
53033242430300333000
641313512532431052
72346532014324641
oct256622402021650
946467030585305
1012011212121000
113910a21124304
12141ba2a778488
13691863556601
142d74bab086c8
1515c68c410735
hexaec940823a8

12011212121000 has 128 divisors (see below), whose sum is σ = 29588467708800. Its totient is φ = 4551162508800.

The previous prime is 12011212120997. The next prime is 12011212121021. The reversal of 12011212121000 is 12121211021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236961659 + ... + 237012341.

It is an arithmetic number, because the mean of its divisors is an integer number (231159903975).

Almost surely, 212011212121000 is an apocalyptic number.

12011212121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794233854400).

12011212121000 is an abundant number, since it is smaller than the sum of its proper divisors (17577255587800).

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

12011212121000 is a wasteful number, since it uses less digits than its factorization.

12011212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63196 (or 63182 counting only the distinct ones).

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

Adding to 12011212121000 its reverse (12121211021), we get a palindrome (12023333332021).

The spelling of 12011212121000 in words is "twelve trillion, eleven billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 12473 19000 24946 49892 50683 62365 99784 101366 124730 202732 236987 249460 253415 311825 405464 473974 498920 506830 623650 947948 962977 1013660 1184935 1247300 1267075 1559125 1895896 1925954 2027320 2369870 2494600 2534150 3118250 3851908 4739740 4814885 5068300 5924675 6236500 6335375 7703816 9479480 9629770 10136600 11849350 12473000 12670750 19259540 23698700 24074425 25341500 29623375 38519080 47397400 48148850 50683000 59246750 96297700 118493500 120372125 192595400 236987000 240744250 481488500 632169059 962977000 1264338118 2528676236 3160845295 5057352472 6321690590 12011212121 12643381180 15804226475 24022424242 25286762360 31608452950 48044848484 60056060605 63216905900 79021132375 96089696968 120112121210 126433811800 158042264750 240224242420 300280303025 316084529500 480448484840 600560606050 632169059000 1201121212100 1501401515125 2402242424200 3002803030250 6005606060500 12011212121000