3112012221312 has 128 divisors (see below), whose sum is σ = 8408742520320. Its totient is φ = 1019488204800.

The previous prime is 3112012221257. The next prime is 3112012221343. The reversal of 3112012221312 is 2131222102113.

It is a tau number, because it is divible by the number of its divisors (128).

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, 28593237 + ... + 28701867.

It is an arithmetic number, because the mean of its divisors is an integer number (65693300940).

Almost surely, 2^{3112012221312} is an apocalyptic number.

3112012221312 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 3112012221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204371260160).

3112012221312 is an abundant number, since it is smaller than the sum of its proper divisors (5296730299008).

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

3112012221312 is a wasteful number, since it uses less digits than its factorization.

3112012221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109932 (or 109920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3112012221312 its reverse (2131222102113), we get a palindrome (5243234323425).

The spelling of 3112012221312 in words is "three trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, three hundred twelve".