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12001122111000 = 2335311363670367
BaseRepresentation
bin1010111010100011101010…
…0111101100111000011000
31120111021222211112020201010
42232220322213230320120
53033111244230023000
641305123412453520
72346023664546111
oct256507247547030
946437884466633
1012001122111000
113907713621470
121419a9361a2a0
136909160127a9
142d6c00a35208
1515c29b6c2d50
hexaea3a9ece18

12001122111000 has 128 divisors (see below), whose sum is σ = 40847455733760. Its totient is φ = 2909362928000.

The previous prime is 12001122110981. The next prime is 12001122111023. The reversal of 12001122111000 is 11122110021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181802184 + ... + 181868183.

It is an arithmetic number, because the mean of its divisors is an integer number (319120747920).

Almost surely, 212001122111000 is an apocalyptic number.

12001122111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001122111000 is an abundant number, since it is smaller than the sum of its proper divisors (28846333622760).

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

12001122111000 is a wasteful number, since it uses less digits than its factorization.

12001122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363670402 (or 363670388 counting only the distinct ones).

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

Adding to 12001122111000 its reverse (11122110021), we get a palindrome (12012244221021).

The spelling of 12001122111000 in words is "twelve trillion, one billion, one hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 363670367 727340734 1091011101 1454681468 1818351835 2182022202 2909362936 3636703670 4000374037 4364044404 5455055505 7273407340 8000748074 8728088808 9091759175 10910111010 12001122111 14546814680 16001496148 18183518350 20001870185 21820222020 24002244222 27275277525 32002992296 36367036700 40003740370 43640444040 45458795875 48004488444 54550555050 60005610555 72734073400 80007480740 90917591750 96008976888 100009350925 109101110100 120011221110 136376387625 160014961480 181835183500 200018701850 218202220200 240022442220 272752775250 300028052775 363670367000 400037403700 480044884440 500046754625 545505550500 600056105550 800074807400 1000093509250 1091011101000 1200112211100 1500140263875 2000187018500 2400224422200 3000280527750 4000374037000 6000561055500 12001122111000