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12111211123000 = 23531110710289899
BaseRepresentation
bin1011000000111101110001…
…1011111101000100111000
31120212211011010102111120221
42300033130123331010320
53041412230021414000
641431451422225424
72360002046655553
oct260173433750470
946784133374527
1012111211123000
11394a376a38610
121437298125274
1369b10baa6a02
142dc28598969a
151600914ee61a
hexb03dc6fd138

12111211123000 has 128 divisors (see below), whose sum is σ = 31205562336000. Its totient is φ = 4362916752000.

The previous prime is 12111211122977. The next prime is 12111211123001. The reversal of 12111211123000 is 32111211121.

It is a happy number.

It is a super-2 number, since 2×121112111230002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111211123001) by changing a digit.

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, 3967950 + ... + 6321949.

It is an arithmetic number, because the mean of its divisors is an integer number (243793455750).

Almost surely, 212111211123000 is an apocalyptic number.

12111211123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111211123000 is an abundant number, since it is smaller than the sum of its proper divisors (19094351213000).

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

12111211123000 is a wasteful number, since it uses less digits than its factorization.

12111211123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290038 (or 10290024 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12111211123000 its reverse (32111211121), we get a palindrome (12143322334121).

The spelling of 12111211123000 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 125 200 214 220 250 275 428 440 500 535 550 856 1000 1070 1100 1177 1375 2140 2200 2354 2675 2750 4280 4708 5350 5500 5885 9416 10700 11000 11770 13375 21400 23540 26750 29425 47080 53500 58850 107000 117700 147125 235400 294250 588500 1177000 10289899 20579798 41159596 51449495 82319192 102898990 113188889 205797980 226377778 257247475 411595960 452755556 514494950 565944445 905511112 1028989900 1101019193 1131888890 1286237375 2057979800 2202038386 2263777780 2572474750 2829722225 4404076772 4527555560 5144949500 5505095965 5659444450 8808153544 10289899000 11010191930 11318888900 12111211123 14148611125 22020383860 22637777800 24222422246 27525479825 28297222250 44040767720 48444844492 55050959650 56594444500 60556055615 96889688984 110101919300 113188889000 121112111230 137627399125 220203838600 242224222460 275254798250 302780278075 484448444920 550509596500 605560556150 1101019193000 1211121112300 1513901390375 2422242224600 3027802780750 6055605561500 12111211123000