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12000121111000 = 2353113135190971
BaseRepresentation
bin1010111010011111111011…
…1101001100000111011000
31120111012102001222011212001
42232213332331030013120
53033102222001023000
641304440213530344
72345660121311551
oct256477675140730
946435361864761
1012000121111000
11390724a585340
1214198543439b4
136907b68153b9
142d6b47b07328
1515c23d89546a
hexae9fef4c1d8

12000121111000 has 128 divisors (see below), whose sum is σ = 31621199800320. Its totient is φ = 4222916400000.

The previous prime is 12000121110959. The next prime is 12000121111067. The reversal of 12000121111000 is 11112100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 17254486 + ... + 17936485.

It is an arithmetic number, because the mean of its divisors is an integer number (247040623440).

Almost surely, 212000121111000 is an apocalyptic number.

12000121111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000121111000 is an abundant number, since it is smaller than the sum of its proper divisors (19621078689320).

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

12000121111000 is a wasteful number, since it uses less digits than its factorization.

12000121111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35191034 (or 35191020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12000121111000 its reverse (11112100021), we get a palindrome (12011233211021).

It can be divided in two parts, 12000121 and 111000, that added together give a palindrome (12111121).

The spelling of 12000121111000 in words is "twelve trillion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 34100 42625 68200 85250 170500 341000 35190971 70381942 140763884 175954855 281527768 351909710 387100681 703819420 774201362 879774275 1090920101 1407638840 1548402724 1759548550 1935503405 2181840202 3096805448 3519097100 3871006810 4363680404 4398871375 5454600505 7038194200 7742013620 8727360808 8797742750 9677517025 10909201010 12000121111 15484027240 17595485500 19355034050 21818402020 24000242222 27273002525 35190971000 38710068100 43636804040 48000484444 48387585125 54546005050 60000605555 77420136200 96000968888 96775170250 109092010100 120001211110 136365012625 193550340500 218184020200 240002422220 272730025250 300003027775 387100681000 480004844440 545460050500 600006055550 1090920101000 1200012111100 1500015138875 2400024222200 3000030277750 6000060555500 12000121111000