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12301121200 = 245249162633
BaseRepresentation
bin10110111010011010…
…00011011010110000
31011202021201200222111
423131031003122300
5200143041334300
65352343415104
7613555543054
oct133515033260
934667650874
1012301121200
115242731475
122473754494
131210665a54
14849a03c64
154bee019ba
hex2dd3436b0

12301121200 has 60 divisors (see below), whose sum is σ = 29614106808. Its totient is φ = 4910348800.

The previous prime is 12301121123. The next prime is 12301121233. The reversal of 12301121200 is 212110321.

12301121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165084 + ... + 227716.

Almost surely, 212301121200 is an apocalyptic number.

12301121200 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 12301121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807053404).

12301121200 is an abundant number, since it is smaller than the sum of its proper divisors (17312985608).

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

12301121200 is a wasteful number, since it uses less digits than its factorization.

12301121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63142 (or 63131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12301121200 its reverse (212110321), we get a palindrome (12513231521).

The spelling of 12301121200 in words is "twelve billion, three hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 491 982 1964 2455 3928 4910 7856 9820 12275 19640 24550 39280 49100 62633 98200 125266 196400 250532 313165 501064 626330 1002128 1252660 1565825 2505320 3131650 5010640 6263300 12526600 25053200 30752803 61505606 123011212 153764015 246022424 307528030 492044848 615056060 768820075 1230112120 1537640150 2460224240 3075280300 6150560600 12301121200