3012233023200 has 288 divisors, whose sum is σ = 10185608079360. Its totient is φ = 772396185600.

The previous prime is 3012233023171. The next prime is 3012233023201. The reversal of 3012233023200 is 23203322103.

3012233023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3012233023200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012233023201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11551861 + ... + 11809739.

It is an arithmetic number, because the mean of its divisors is an integer number (35366694720).

Almost surely, 2^{3012233023200} is an apocalyptic number.

3012233023200 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 3012233023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092804039680).

3012233023200 is an abundant number, since it is smaller than the sum of its proper divisors (7173375056160).

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

3012233023200 is a wasteful number, since it uses less digits than its factorization.

3012233023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258090 (or 258077 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3012233023200 its reverse (23203322103), we get a palindrome (3035436345303).

The spelling of 3012233023200 in words is "three trillion, twelve billion, two hundred thirty-three million, twenty-three thousand, two hundred".