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12300114000 = 2435313115649
BaseRepresentation
bin10110111010010010…
…01101100001010000
31011202012211112100210
423131021031201100
5200142312122000
65352310044120
7613544146446
oct133511154120
934665745323
1012300114000
115242103779
122473349640
1312103a2485
14849820b96
154beca3350
hex2dd24d850

12300114000 has 160 divisors (see below), whose sum is σ = 39960835200. Its totient is φ = 3254784000.

The previous prime is 12300113971. The next prime is 12300114017. The reversal of 12300114000 is 41100321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778176 + ... + 793824.

It is an arithmetic number, because the mean of its divisors is an integer number (249755220).

Almost surely, 212300114000 is an apocalyptic number.

12300114000 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 12300114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980417600).

12300114000 is an abundant number, since it is smaller than the sum of its proper divisors (27660721200).

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

12300114000 is a wasteful number, since it uses less digits than its factorization.

12300114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12300114000 its reverse (41100321), we get a palindrome (12341214321).

The spelling of 12300114000 in words is "twelve billion, three hundred million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 3000 3144 3275 3930 5240 6000 6288 6550 7860 9825 10480 13100 15649 15720 16375 19650 26200 31298 31440 32750 39300 46947 49125 52400 62596 65500 78245 78600 93894 98250 125192 131000 156490 157200 187788 196500 234735 250384 262000 312980 375576 391225 393000 469470 625960 751152 782450 786000 938940 1173675 1251920 1564900 1877880 1956125 2050019 2347350 3129800 3755760 3912250 4100038 4694700 5868375 6150057 6259600 7824500 8200076 9389400 10250095 11736750 12300114 15649000 16400152 18778800 20500190 23473500 24600228 30750285 31298000 32800304 41000380 46947000 49200456 51250475 61500570 82000760 93894000 98400912 102500950 123001140 153751425 164001520 205001900 246002280 256252375 307502850 410003800 492004560 512504750 615005700 768757125 820007600 1025009500 1230011400 1537514250 2050019000 2460022800 3075028500 4100038000 6150057000 12300114000