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12012320303300 = 2252317565367033
BaseRepresentation
bin1010111011001101011000…
…0101011010100011000100
31120112100220020220100200002
42232303112011122203010
53033302212444201200
641314214520540432
72346601331610062
oct256632605324304
946470806810602
1012012320303300
11391143a718049
121420099921718
136919ac010695
142d7583d77032
1515c704860bd5
hexaecd615a8c4

12012320303300 has 72 divisors (see below), whose sum is σ = 26153980345416. Its totient is φ = 4788851880960.

The previous prime is 12012320303281. The next prime is 12012320303309. The reversal of 12012320303300 is 330302321021.

It can be written as a sum of positive squares in 12 ways, for example, as 8177357913664 + 3834962389636 = 2859608^2 + 1958306^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12012320303309) 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, 179166584 + ... + 179233616.

Almost surely, 212012320303300 is an apocalyptic number.

12012320303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012320303300 is an abundant number, since it is smaller than the sum of its proper divisors (14141660042116).

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

12012320303300 is a wasteful number, since it uses less digits than its factorization.

12012320303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73017 (or 73010 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12012320303300 its reverse (330302321021), we get a palindrome (12342622624321).

The spelling of 12012320303300 in words is "twelve trillion, twelve billion, three hundred twenty million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 5653 6340 7925 11306 15850 22612 28265 31700 56530 67033 113060 134066 141325 268132 282650 335165 565300 670330 1340660 1675825 1792001 3351650 3584002 6703300 7168004 8960005 17920010 21249461 35840020 42498922 44800025 84997844 89600050 106247305 179200100 212494610 378937549 424989220 531236525 757875098 1062473050 1515750196 1894687745 2124946100 3789375490 7578750980 9473438725 18946877450 37893754900 120123203033 240246406066 480492812132 600616015165 1201232030330 2402464060660 3003080075825 6006160151650 12012320303300