12134433120 has 96 divisors (see below), whose sum is σ = 38498664960. Its totient is φ = 3212551680.

The previous prime is 12134433109. The next prime is 12134433121. The reversal of 12134433120 is 2133443121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134433121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24216 + ... + 157655.

It is an arithmetic number, because the mean of its divisors is an integer number (401027760).

Almost surely, 2^12134433120 is an apocalyptic number.

12134433120 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 12134433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249332480).

12134433120 is an abundant number, since it is smaller than the sum of its proper divisors (26364231840).

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

12134433120 is a wasteful number, since it uses less digits than its factorization.

12134433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182028 (or 182020 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12134433120 its reverse (2133443121), we get a palindrome (14267876241).

The spelling of 12134433120 in words is "twelve billion, one hundred thirty-four million, four hundred thirty-three thousand, one hundred twenty".