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12032303012000 = 255310872767319
BaseRepresentation
bin1010111100010111110100…
…1001011001100010100000
31120121021110212220010201022
42233011331021121202200
53034114124032341000
641331321431425012
72351206454046035
oct257057511314240
946537425803638
1012032303012000
113919964406937
121423b35b25168
13693844c42a7b
142d851bc3b38c
1515cec3d13585
hexaf17d2598a0

12032303012000 has 96 divisors (see below), whose sum is σ = 29590576404480. Its totient is φ = 4808491756800.

The previous prime is 12032303011951. The next prime is 12032303012089. The reversal of 12032303012000 is 21030323021.

It is a self number, because there is not a number n which added to its sum of digits gives 12032303012000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964341 + ... + 5731659.

It is an arithmetic number, because the mean of its divisors is an integer number (308235170880).

Almost surely, 212032303012000 is an apocalyptic number.

12032303012000 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 12032303012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14795288202240).

12032303012000 is an abundant number, since it is smaller than the sum of its proper divisors (17558273392480).

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

12032303012000 is a wasteful number, since it uses less digits than its factorization.

12032303012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768431 (or 2768413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12032303012000 its reverse (21030323021), we get a palindrome (12053333335021).

The spelling of 12032303012000 in words is "twelve trillion, thirty-two billion, three hundred three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1087 2000 2174 4000 4348 5435 8696 10870 17392 21740 27175 34784 43480 54350 86960 108700 135875 173920 217400 271750 434800 543500 869600 1087000 2174000 2767319 4348000 5534638 11069276 13836595 22138552 27673190 44277104 55346380 69182975 88554208 110692760 138365950 221385520 276731900 345914875 442771040 553463800 691829750 1106927600 1383659500 2213855200 2767319000 3008075753 5534638000 6016151506 11069276000 12032303012 15040378765 24064606024 30080757530 48129212048 60161515060 75201893825 96258424096 120323030120 150403787650 240646060240 300807575300 376009469125 481292120480 601615150600 752018938250 1203230301200 1504037876500 2406460602400 3008075753000 6016151506000 12032303012000