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12003234200 = 2352178939667
BaseRepresentation
bin10110010110111001…
…01101000110011000
31010222112012110211122
423023130231012120
5144040311443300
65303022544412
7603310543616
oct131334550630
933875173748
1012003234200
1150aa570571
1223aba38108
131193a27959
1481c2206b6
154a3badc85
hex2cb72d198

12003234200 has 96 divisors (see below), whose sum is σ = 29881904400. Its totient is φ = 4467978240.

The previous prime is 12003234137. The next prime is 12003234209. The reversal of 12003234200 is 243230021.

12003234200 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003234209) 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 23 ways as a sum of consecutive naturals, for example, 282767 + ... + 322433.

Almost surely, 212003234200 is an apocalyptic number.

12003234200 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 12003234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940952200).

12003234200 is an abundant number, since it is smaller than the sum of its proper divisors (17878670200).

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

12003234200 is a wasteful number, since it uses less digits than its factorization.

12003234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39789 (or 39780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12003234200 its reverse (243230021), we get a palindrome (12246464221).

The spelling of 12003234200 in words is "twelve billion, three million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 89 100 136 170 178 200 340 356 425 445 680 712 850 890 1513 1700 1780 2225 3026 3400 3560 4450 6052 7565 8900 12104 15130 17800 30260 37825 39667 60520 75650 79334 151300 158668 198335 302600 317336 396670 674339 793340 991675 1348678 1586680 1983350 2697356 3371695 3530363 3966700 5394712 6743390 7060726 7933400 13486780 14121452 16858475 17651815 26973560 28242904 33716950 35303630 60016171 67433900 70607260 88259075 120032342 134867800 141214520 176518150 240064684 300080855 353036300 480129368 600161710 706072600 1200323420 1500404275 2400646840 3000808550 6001617100 12003234200