3002220001312 has 96 divisors (see below), whose sum is σ = 6874343562240. Its totient is φ = 1263963505920.

The previous prime is 3002220001217. The next prime is 3002220001337. The reversal of 3002220001312 is 2131000222003.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 18779637 + ... + 18938827.

It is an arithmetic number, because the mean of its divisors is an integer number (71607745440).

Almost surely, 2^{3002220001312} is an apocalyptic number.

3002220001312 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 3002220001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437171781120).

3002220001312 is an abundant number, since it is smaller than the sum of its proper divisors (3872123560928).

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

3002220001312 is a wasteful number, since it uses less digits than its factorization.

3002220001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160694 (or 160686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3002220001312 its reverse (2131000222003), we get a palindrome (5133220223315).

The spelling of 3002220001312 in words is "three trillion, two billion, two hundred twenty million, one thousand, three hundred twelve".