3012512232000 has 448 divisors, whose sum is σ = 10244031393024. Its totient is φ = 779614617600.

The previous prime is 3012512231983. The next prime is 3012512232007. The reversal of 3012512232000 is 2322152103.

3012512232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3012512232007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162014704 + ... + 162033296.

Almost surely, 2^{3012512232000} is an apocalyptic number.

3012512232000 is a gapful number since it is divisible by the number (30) 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 3012512232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122015696512).

3012512232000 is an abundant number, since it is smaller than the sum of its proper divisors (7231519161024).

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

3012512232000 is a wasteful number, since it uses less digits than its factorization.

3012512232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 3012512232000 its reverse (2322152103), we get a palindrome (3014834384103).

The spelling of 3012512232000 in words is "three trillion, twelve billion, five hundred twelve million, two hundred thirty-two thousand".