3001221322112 has 96 divisors (see below), whose sum is σ = 6475654638360. Its totient is φ = 1384888627200.

The previous prime is 3001221322111. The next prime is 3001221322139. The reversal of 3001221322112 is 2112231221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001221322111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130018412 + ... + 130041492.

Almost surely, 2^{3001221322112} is an apocalyptic number.

3001221322112 is a gapful number since it is divisible by the number (32) 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 3001221322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237827319180).

3001221322112 is an abundant number, since it is smaller than the sum of its proper divisors (3474433316248).

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

3001221322112 is a wasteful number, since it uses less digits than its factorization.

3001221322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29132 (or 29107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3001221322112 its reverse (2112231221003), we get a palindrome (5113452543115).

The spelling of 3001221322112 in words is "three trillion, one billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".