12134143104 has 128 divisors (see below), whose sum is σ = 32783616000. Its totient is φ = 3975767040.

The previous prime is 12134143103. The next prime is 12134143127. The reversal of 12134143104 is 40134143121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12134143103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16876057 + ... + 16876775.

It is an arithmetic number, because the mean of its divisors is an integer number (256122000).

Almost surely, 2^12134143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391808000).

12134143104 is an abundant number, since it is smaller than the sum of its proper divisors (20649472896).

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

12134143104 is an equidigital number, since it uses as much as digits as its factorization.

12134143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12134143104 its reverse (40134143121), we get a palindrome (52268286225).

The spelling of 12134143104 in words is "twelve billion, one hundred thirty-four million, one hundred forty-three thousand, one hundred four".