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12144321120 = 253525300669
BaseRepresentation
bin10110100111101101…
…11010001001100000
31011100100200102201010
423103312322021200
5144332421233440
65325022540520
7606643012011
oct132366721140
934310612633
1012144321120
115172175228
12242b137740
1311b7025939
14832c69008
154b127c580
hex2d3dba260

12144321120 has 48 divisors (see below), whose sum is σ = 38254613040. Its totient is φ = 3238485504.

The previous prime is 12144321089. The next prime is 12144321121. The reversal of 12144321120 is 2112344121.

12144321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144321121) 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 7 ways as a sum of consecutive naturals, for example, 12649855 + ... + 12650814.

It is an arithmetic number, because the mean of its divisors is an integer number (796971105).

Almost surely, 212144321120 is an apocalyptic number.

12144321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144321120 is an abundant number, since it is smaller than the sum of its proper divisors (26110291920).

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

12144321120 is a wasteful number, since it uses less digits than its factorization.

12144321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300687 (or 25300679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12144321120 its reverse (2112344121), we get a palindrome (14256665241).

The spelling of 12144321120 in words is "twelve billion, one hundred forty-four million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25300669 50601338 75902007 101202676 126503345 151804014 202405352 253006690 303608028 379510035 404810704 506013380 607216056 759020070 809621408 1012026760 1214432112 1518040140 2024053520 2428864224 3036080280 4048107040 6072160560 12144321120