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12010404411400 = 2352107797704183
BaseRepresentation
bin1010111011000110001111…
…1000110111100000001000
31120112011221201210222001211
42232301203320313200020
53033234302012131100
641313300440422504
72346503006031313
oct256614370674010
946464851728054
1012010404411400
1139106471a810a
12141b844177a34
13691765104535
142d744173397a
1515c6415641ba
hexaec63e37808

12010404411400 has 96 divisors (see below), whose sum is σ = 28220568143040. Its totient is φ = 4753284834560.

The previous prime is 12010404411361. The next prime is 12010404411403. The reversal of 12010404411400 is 411440401021.

It is not an unprimeable number, because it can be changed into a prime (12010404411403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16703709 + ... + 17407891.

It is an arithmetic number, because the mean of its divisors is an integer number (293964251490).

Almost surely, 212010404411400 is an apocalyptic number.

12010404411400 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 12010404411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110284071520).

12010404411400 is an abundant number, since it is smaller than the sum of its proper divisors (16210163731640).

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

12010404411400 is a wasteful number, since it uses less digits than its factorization.

12010404411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705103 (or 705094 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12010404411400 its reverse (411440401021), we get a palindrome (12421844812421).

The spelling of 12010404411400 in words is "twelve trillion, ten billion, four hundred four million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 797 856 1070 1594 2140 2675 3188 3985 4280 5350 6376 7970 10700 15940 19925 21400 31880 39850 79700 85279 159400 170558 341116 426395 682232 704183 852790 1408366 1705580 2131975 2816732 3411160 3520915 4263950 5633464 7041830 8527900 14083660 17055800 17604575 28167320 35209150 70418300 75347581 140836600 150695162 301390324 376737905 561233851 602780648 753475810 1122467702 1506951620 1883689525 2244935404 2806169255 3013903240 3767379050 4489870808 5612338510 7534758100 11224677020 14030846275 15069516200 22449354040 28061692550 56123385100 60052022057 112246770200 120104044114 240208088228 300260110285 480416176456 600520220570 1201040441140 1501300551425 2402080882280 3002601102850 6005202205700 12010404411400