3002220312312 has 128 divisors (see below), whose sum is σ = 8185304332800. Its totient is φ = 912070513152.

The previous prime is 3002220312307. The next prime is 3002220312313. The reversal of 3002220312312 is 2132130222003.

It is a happy number.

3002220312312 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 (3002220312313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43185693 + ... + 43255155.

It is an arithmetic number, because the mean of its divisors is an integer number (63947690100).

Almost surely, 2^{3002220312312} 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 3002220312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092652166400).

3002220312312 is an abundant number, since it is smaller than the sum of its proper divisors (5183084020488).

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

3002220312312 is a wasteful number, since it uses less digits than its factorization.

3002220312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71237 (or 71233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3002220312312 its reverse (2132130222003), we get a palindrome (5134350534315).

The spelling of 3002220312312 in words is "three trillion, two billion, two hundred twenty million, three hundred twelve thousand, three hundred twelve".