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12111212200 = 235260556061
BaseRepresentation
bin10110100011110001…
…00110111010101000
31011021001101022210211
423101320212322220
5144300432242300
65321441150504
7606061414363
oct132170467250
934231338724
1012111212200
115155510a8a
12242002b434
1311b0202869
1482c6cb0da
154ad3dc4ba
hex2d1e26ea8

12111212200 has 24 divisors (see below), whose sum is σ = 28158568830. Its totient is φ = 4844484800.

The previous prime is 12111212167. The next prime is 12111212207. The reversal of 12111212200 is 221211121.

12111212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11818733796 + 292478404 = 108714^2 + 17102^2 .

It is not an unprimeable number, because it can be changed into a prime (12111212207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30277831 + ... + 30278230.

Almost surely, 212111212200 is an apocalyptic number.

12111212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111212200 is an abundant number, since it is smaller than the sum of its proper divisors (16047356630).

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

12111212200 is a wasteful number, since it uses less digits than its factorization.

12111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60556077 (or 60556068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12111212200 its reverse (221211121), we get a palindrome (12332423321).

The spelling of 12111212200 in words is "twelve billion, one hundred eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60556061 121112122 242224244 302780305 484448488 605560610 1211121220 1513901525 2422242440 3027803050 6055606100 12111212200