3001333222000 has 80 divisors (see below), whose sum is σ = 7259658120000. Its totient is φ = 1200130579200.

The previous prime is 3001333221967. The next prime is 3001333222021. The reversal of 3001333222000 is 2223331003.

It is a happy number.

3001333222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3001333222000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747806 + ... + 6248194.

It is an arithmetic number, because the mean of its divisors is an integer number (90745726500).

Almost surely, 2^{3001333222000} 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 3001333222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629829060000).

3001333222000 is an abundant number, since it is smaller than the sum of its proper divisors (4258324898000).

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

3001333222000 is a wasteful number, since it uses less digits than its factorization.

3001333222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503411 (or 503395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 3001333222000 its reverse (2223331003), we get a palindrome (3003556553003).

The spelling of 3001333222000 in words is "three trillion, one billion, three hundred thirty-three million, two hundred twenty-two thousand".