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12144120121 = 74050742829
BaseRepresentation
bin10110100111101100…
…01001000100111001
31011100100022012222201
423103312021010321
5144332343320441
65325014350201
7606641214010
oct132366110471
934310265881
1012144120121
115172048211
12242b05b361
1311b6c852c3
14832c15a77
154b123cc31
hex2d3d89139

12144120121 has 8 divisors (see below), whose sum is σ = 13879661120. Its totient is φ = 10408745808.

The previous prime is 12144120101. The next prime is 12144120143. The reversal of 12144120121 is 12102144121.

It is a happy number.

12144120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12144120121 - 231 = 9996636473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12144120101) 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, 262135 + ... + 304963.

It is an arithmetic number, because the mean of its divisors is an integer number (1734957640).

Almost surely, 212144120121 is an apocalyptic number.

It is an amenable number.

12144120121 is a deficient number, since it is larger than the sum of its proper divisors (1735540999).

12144120121 is an equidigital number, since it uses as much as digits as its factorization.

12144120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83343.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12144120121 its reverse (12102144121), we get a palindrome (24246264242).

The spelling of 12144120121 in words is "twelve billion, one hundred forty-four million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 40507 42829 283549 299803 1734874303 12144120121