311222122040112 has 160 divisors (see below), whose sum is σ = 839993629466880. Its totient is φ = 99166465305600.

The previous prime is 311222122040111. The next prime is 311222122040153. The reversal of 311222122040112 is 211040221222113.

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

It is not an unprimeable number, because it can be changed into a prime (311222122040111) 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, 3318346083 + ... + 3318439869.

It is an arithmetic number, because the mean of its divisors is an integer number (5249960184168).

Almost surely, 2^{311222122040112} 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 311222122040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419996814733440).

311222122040112 is an abundant number, since it is smaller than the sum of its proper divisors (528771507426768).

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

311222122040112 is a wasteful number, since it uses less digits than its factorization.

311222122040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117531 (or 117525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 311222122040112 its reverse (211040221222113), we get a palindrome (522262343262225).

The spelling of 311222122040112 in words is "three hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, forty thousand, one hundred twelve".