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12012320312200 = 23521329159314593
BaseRepresentation
bin1010111011001101011000…
…0101011100101110001000
31120112100220020220210212201
42232303112011130232020
53033302212444442300
641314214521045544
72346601331645035
oct256632605345610
946470806823781
1012012320312200
11391143a7237aa
1214200999268b4
136919ac014750
142d7583d7a38c
1515c70486366a
hexaecd615cb88

12012320312200 has 96 divisors (see below), whose sum is σ = 31114140208200. Its totient is φ = 4282376232960.

The previous prime is 12012320312191. The next prime is 12012320312221. The reversal of 12012320312200 is 221302321021.

12012320312200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6275491524 + 12006044820676 = 79218^2 + 3464974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79581897 + ... + 79732696.

Almost surely, 212012320312200 is an apocalyptic number.

12012320312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012320312200 is an abundant number, since it is smaller than the sum of its proper divisors (19101819896000).

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

12012320312200 is a wasteful number, since it uses less digits than its factorization.

12012320312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159314651 (or 159314642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12012320312200 its reverse (221302321021), we get a palindrome (12233622633221).

The spelling of 12012320312200 in words is "twelve trillion, twelve billion, three hundred twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 159314593 318629186 637258372 796572965 1274516744 1593145930 2071089709 3186291860 3982864825 4142179418 4620123197 6372583720 7965729650 8284358836 9240246394 10355448545 15931459300 16568717672 18480492788 20710897090 23100615985 31862918600 36960985576 41421794180 46201231970 51777242725 60061601561 82843588360 92402463940 103554485450 115503079925 120123203122 184804927880 207108970900 231006159850 240246406244 300308007805 414217941800 462012319700 480492812488 600616015610 924024639400 1201232031220 1501540039025 2402464062440 3003080078050 6006160156100 12012320312200