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12002011323000 = 233537156347471
BaseRepresentation
bin1010111010100110111110…
…0111110001101001111000
31120111101021210201220020220
42232221233213301221320
53033120104344314000
641305351535420040
72346055012663656
oct256515747615170
946441253656226
1012002011323000
11390802a555616
12141a0a1384620
13690a282cca3a
142d6c86b83dd6
1515c2ee7bd1a0
hexaea6f9f1a78

12002011323000 has 128 divisors (see below), whose sum is σ = 37973688330240. Its totient is φ = 3155458320000.

The previous prime is 12002011322981. The next prime is 12002011323013. The reversal of 12002011323000 is 32311020021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 27960736 + ... + 28386735.

It is an arithmetic number, because the mean of its divisors is an integer number (296669440080).

Almost surely, 212002011323000 is an apocalyptic number.

12002011323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002011323000 is an abundant number, since it is smaller than the sum of its proper divisors (25971677007240).

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

12002011323000 is a wasteful number, since it uses less digits than its factorization.

12002011323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56347566 (or 56347552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12002011323000 its reverse (32311020021), we get a palindrome (12034322343021).

The spelling of 12002011323000 in words is "twelve trillion, two billion, eleven million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 53250 71000 106500 213000 56347471 112694942 169042413 225389884 281737355 338084826 450779768 563474710 676169652 845212065 1126949420 1352339304 1408686775 1690424130 2253898840 2817373550 3380848260 4000670441 4226060325 5634747100 6761696520 7043433875 8001340882 8452120650 11269494200 12002011323 14086867750 16002681764 16904241300 20003352205 21130301625 24004022646 28173735500 32005363528 33808482600 40006704410 42260603250 48008045292 56347471000 60010056615 80013408820 84521206500 96016090584 100016761025 120020113230 160026817640 169042413000 200033522050 240040226460 300050283075 400067044100 480080452920 500083805125 600100566150 800134088200 1000167610250 1200201132300 1500251415375 2000335220500 2400402264600 3000502830750 4000670441000 6001005661500 12002011323000