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12003201210 = 235721121329179
BaseRepresentation
bin10110010110111001…
…00101000010111010
31010222112010210120210
423023130211002322
5144040304414320
65303022131550
7603310345500
oct131334450272
933875123523
1012003201210
1150aa548800
1223aba20bb6
131193a15930
1481c212670
154a3ba40e0
hex2cb7250ba

12003201210 has 576 divisors, whose sum is σ = 41264899200. Its totient is φ = 2210503680.

The previous prime is 12003201193. The next prime is 12003201229. The reversal of 12003201210 is 1210230021.

12003201210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 67056901 + ... + 67057079.

It is an arithmetic number, because the mean of its divisors is an integer number (71640450).

Almost surely, 212003201210 is an apocalyptic number.

12003201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632449600).

12003201210 is an abundant number, since it is smaller than the sum of its proper divisors (29261697990).

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

12003201210 is a wasteful number, since it uses less digits than its factorization.

12003201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12003201210 its reverse (1210230021), we get a palindrome (13213431231).

The spelling of 12003201210 in words is "twelve billion, three million, two hundred one thousand, two hundred ten".