3012132424000 has 224 divisors, whose sum is σ = 8641990596096. Its totient is φ = 1018582732800.

The previous prime is 3012132423997. The next prime is 3012132424009. The reversal of 3012132424000 is 4242312103.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012132424009) 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 31 ways as a sum of consecutive naturals, for example, 3719589 + ... + 4456411.

Almost surely, 2^{3012132424000} 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 3012132424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320995298048).

3012132424000 is an abundant number, since it is smaller than the sum of its proper divisors (5629858172096).

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

3012132424000 is an equidigital number, since it uses as much as digits as its factorization.

3012132424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736930 (or 736910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3012132424000 its reverse (4242312103), we get a palindrome (3016374736103).

The spelling of 3012132424000 in words is "three trillion, twelve billion, one hundred thirty-two million, four hundred twenty-four thousand".