3112222322112 has 224 divisors, whose sum is σ = 8753973043200. Its totient is φ = 973051564032.

The previous prime is 3112222322107. The next prime is 3112222322137. The reversal of 3112222322112 is 2112232222113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784525953 + ... + 784529919.

It is an arithmetic number, because the mean of its divisors is an integer number (39080236800).

Almost surely, 2^{3112222322112} is an apocalyptic number.

3112222322112 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 3112222322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376986521600).

3112222322112 is an abundant number, since it is smaller than the sum of its proper divisors (5641750721088).

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

3112222322112 is a wasteful number, since it uses less digits than its factorization.

3112222322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6073 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 3112222322112 its reverse (2112232222113), we get a palindrome (5224454544225).

Subtracting from 3112222322112 its reverse (2112232222113), we obtain a palindrome (999990099999).

The spelling of 3112222322112 in words is "three trillion, one hundred twelve billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".