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201212000000 = 28561117269
BaseRepresentation
bin1011101101100100101…
…0110111011100000000
3201020100210212122221022
42323121022313130000
511244040233000000
6232234023245012
720352135531464
oct2733112673400
9636323778838
10201212000000
1178373a237a0
1232bb55a9768
1315c8845563b
149a4b0564a4
155379a80585
hex2ed92b7700

201212000000 has 504 divisors, whose sum is σ = 582053487120. Its totient is φ = 68608000000.

The previous prime is 201211999999. The next prime is 201212000009. The reversal of 201212000000 is 212102.

201212000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 747999866 + ... + 748000134.

It is an arithmetic number, because the mean of its divisors is an integer number (1154868030).

Almost surely, 2201212000000 is an apocalyptic number.

201212000000 is a gapful number since it is divisible by the number (20) 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 201212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291026743560).

201212000000 is an abundant number, since it is smaller than the sum of its proper divisors (380841487120).

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

201212000000 is an frugal number, since it uses more digits than its factorization.

201212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 201212000000 its reverse (212102), we get a palindrome (201212212102).

The spelling of 201212000000 in words is "two hundred one billion, two hundred twelve million", and thus it is an aban number.