3001220001200 has 120 divisors (see below), whose sum is σ = 7272231422400. Its totient is φ = 1190222311680.

The previous prime is 3001220001173. The next prime is 3001220001223. The reversal of 3001220001200 is 21000221003.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41051879 + ... + 41124921.

It is an arithmetic number, because the mean of its divisors is an integer number (60601928520).

Almost surely, 2^{3001220001200} 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 3001220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636115711200).

3001220001200 is an abundant number, since it is smaller than the sum of its proper divisors (4271011421200).

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

3001220001200 is a wasteful number, since it uses less digits than its factorization.

3001220001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73939 (or 73928 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 3001220001200 its reverse (21000221003), we get a palindrome (3022220222203).

The spelling of 3001220001200 in words is "three trillion, one billion, two hundred twenty million, one thousand, two hundred".