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12120141424 = 243124435769
BaseRepresentation
bin10110100100110101…
…01010111001110000
31011021200011222101211
423102122222321300
5144310224011144
65322400405504
7606230334166
oct132232527160
934250158354
1012120141424
11515a55a706
122423016894
1311b200ac21
1482d973236
154ae0a3034
hex2d26aae70

12120141424 has 20 divisors (see below), whose sum is σ = 24240283840. Its totient is φ = 5864584320.

The previous prime is 12120141377. The next prime is 12120141431. The reversal of 12120141424 is 42414102121.

12120141424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12120141424 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 12120141395 and 12120141404.

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 3 ways as a sum of consecutive naturals, for example, 12217389 + ... + 12218380.

It is an arithmetic number, because the mean of its divisors is an integer number (1212014192).

Almost surely, 212120141424 is an apocalyptic number.

It is an amenable number.

12120141424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12120141424 is a wasteful number, since it uses less digits than its factorization.

12120141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435808 (or 24435802 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12120141424 its reverse (42414102121), we get a palindrome (54534243545).

The spelling of 12120141424 in words is "twelve billion, one hundred twenty million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 24435769 48871538 97743076 195486152 390972304 757508839 1515017678 3030035356 6060070712 12120141424