12134836224 has 288 divisors, whose sum is σ = 40370016960. Its totient is φ = 3439853568.

The previous prime is 12134836223. The next prime is 12134836279. The reversal of 12134836224 is 42263843121.

12134836224 is a `hidden beast` number, since 1 + 21 + 3 + 4 + 8 + 3 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12134836223) 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 23 ways as a sum of consecutive naturals, for example, 21030624 + ... + 21031200.

It is an arithmetic number, because the mean of its divisors is an integer number (140173670).

Almost surely, 2^12134836224 is an apocalyptic number.

12134836224 is a gapful number since it is divisible by the number (14) 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 12134836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20185008480).

12134836224 is an abundant number, since it is smaller than the sum of its proper divisors (28235180736).

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

12134836224 is a wasteful number, since it uses less digits than its factorization.

12134836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 12134836224 in words is "twelve billion, one hundred thirty-four million, eight hundred thirty-six thousand, two hundred twenty-four".