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12300221200 = 2452139221227
BaseRepresentation
bin10110111010010011…
…00111101100010000
31011202020000222102011
423131021213230100
5200142324034300
65352312232304
7613545104131
oct133511475420
934666028364
1012300221200
115242177273
12247339b694
13121040c1c7
1484984bc88
154becc4eba
hex2dd267b10

12300221200 has 60 divisors (see below), whose sum is σ = 29764015120. Its totient is φ = 4884670080.

The previous prime is 12300221183. The next prime is 12300221239. The reversal of 12300221200 is 212200321.

12300221200 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, 55014 + ... + 166213.

Almost surely, 212300221200 is an apocalyptic number.

12300221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300221200 is an abundant number, since it is smaller than the sum of its proper divisors (17463793920).

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

12300221200 is a wasteful number, since it uses less digits than its factorization.

12300221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221384 (or 221373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12300221200 its reverse (212200321), we get a palindrome (12512421521).

The spelling of 12300221200 in words is "twelve billion, three hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 5560 6950 11120 13900 27800 55600 221227 442454 884908 1106135 1769816 2212270 3539632 4424540 5530675 8849080 11061350 17698160 22122700 30750553 44245400 61501106 88490800 123002212 153752765 246004424 307505530 492008848 615011060 768763825 1230022120 1537527650 2460044240 3075055300 6150110600 12300221200