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12300300102200 = 23521151711081231
BaseRepresentation
bin1011001011111110001100…
…0001001010101000111000
31121112220020001200220100212
42302333203001022220320
53103012003311232300
642054402503250252
72406444621531365
oct262774301125070
947486201626325
1012300300102200
113a12589815350
121467a69749988
136b2bb4753956
143074a291d46c
15164e5bb0d935
hexb2fe304aa38

12300300102200 has 96 divisors (see below), whose sum is σ = 31204096024320. Its totient is φ = 4471967280000.

The previous prime is 12300300102199. The next prime is 12300300102203. The reversal of 12300300102200 is 220100300321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300300102203) 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, 10835585 + ... + 11916815.

It is an arithmetic number, because the mean of its divisors is an integer number (325042666920).

Almost surely, 212300300102200 is an apocalyptic number.

12300300102200 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 12300300102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602048012160).

12300300102200 is an abundant number, since it is smaller than the sum of its proper divisors (18903795922120).

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

12300300102200 is a wasteful number, since it uses less digits than its factorization.

12300300102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086429 (or 1086420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12300300102200 its reverse (220100300321), we get a palindrome (12520400402521).

The spelling of 12300300102200 in words is "twelve trillion, three hundred billion, three hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5171 10342 20684 25855 41368 51710 56881 103420 113762 129275 206840 227524 258550 284405 455048 517100 568810 1034200 1081231 1137620 1422025 2162462 2275240 2844050 4324924 5406155 5688100 8649848 10812310 11376200 11893541 21624620 23787082 27030775 43249240 47574164 54061550 59467705 95148328 108123100 118935410 216246200 237870820 297338525 475741640 594677050 1189354100 2378708200 5591045501 11182091002 22364182004 27955227505 44728364008 55910455010 61501500511 111820910020 123003001022 139776137525 223641820040 246006002044 279552275050 307507502555 492012004088 559104550100 615015005110 1118209100200 1230030010220 1537537512775 2460060020440 3075075025550 6150150051100 12300300102200