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12002012122200 = 23352168791185103
BaseRepresentation
bin1010111010100110111110…
…1010110100110001011000
31120111101021212020111112220
42232221233222310301120
53033120110100402300
641305352004504040
72346055022533002
oct256515752646130
946441255214486
1012002012122200
11390802aa51011
12141a0a16ab020
13690a2851c739
142d6c86d11372
1515c2ee8c9da0
hexaea6fab4c58

12002012122200 has 96 divisors (see below), whose sum is σ = 37208473267200. Its totient is φ = 3200344248960.

The previous prime is 12002012122171. The next prime is 12002012122201. The reversal of 12002012122200 is 222121020021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002012122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012122201) 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, 9534849 + ... + 10719951.

It is an arithmetic number, because the mean of its divisors is an integer number (387588263200).

Almost surely, 212002012122200 is an apocalyptic number.

12002012122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002012122200 is an abundant number, since it is smaller than the sum of its proper divisors (25206461145000).

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

12002012122200 is a wasteful number, since it uses less digits than its factorization.

12002012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202001 (or 1201992 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002012122200 its reverse (222121020021), we get a palindrome (12224133142221).

The spelling of 12002012122200 in words is "twelve trillion, two billion, twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 16879 33758 50637 67516 84395 101274 135032 168790 202548 253185 337580 405096 421975 506370 675160 843950 1012740 1185103 1265925 1687900 2025480 2370206 2531850 3375800 3555309 4740412 5063700 5925515 7110618 9480824 10127400 11851030 14221236 17776545 23702060 28442472 29627575 35553090 47404120 59255150 71106180 88882725 118510300 142212360 177765450 237020600 355530900 711061800 20003353537 40006707074 60010060611 80013414148 100016767685 120020121222 160026828296 200033535370 240040242444 300050303055 400067070740 480080484888 500083838425 600100606110 800134141480 1000167676850 1200201212220 1500251515275 2000335353700 2400402424440 3000503030550 4000670707400 6001006061100 12002012122200