3001012214200 has 768 divisors, whose sum is σ = 9856619136000. Its totient is φ = 819431424000.

The previous prime is 3001012214197. The next prime is 3001012214201. The reversal of 3001012214200 is 24122101003.

3001012214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001012214201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 342537820 + ... + 342546580.

It is an arithmetic number, because the mean of its divisors is an integer number (12834139500).

Almost surely, 2^{3001012214200} 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 3001012214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928309568000).

3001012214200 is an abundant number, since it is smaller than the sum of its proper divisors (6855606921800).

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

3001012214200 is a wasteful number, since it uses less digits than its factorization.

3001012214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 3001012214200 its reverse (24122101003), we get a palindrome (3025134315203).

The spelling of 3001012214200 in words is "three trillion, one billion, twelve million, two hundred fourteen thousand, two hundred".