311311012122 has 96 divisors (see below), whose sum is σ = 762814584000. Its totient is φ = 94038452640.

The previous prime is 311311012049. The next prime is 311311012127. The reversal of 311311012122 is 221210113113.

311311012122 is a `hidden beast` number, since 311 + 311 + 0 + 1 + 21 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311311012095 and 311311012104.

It is not an unprimeable number, because it can be changed into a prime (311311012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996129 + ... + 2146427.

It is an arithmetic number, because the mean of its divisors is an integer number (7945985250).

Almost surely, 2^311311012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311311012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381407292000).

311311012122 is an abundant number, since it is smaller than the sum of its proper divisors (451503571878).

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

311311012122 is a wasteful number, since it uses less digits than its factorization.

311311012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150649 (or 150632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311311012122 its reverse (221210113113), we get a palindrome (532521125235).

The spelling of 311311012122 in words is "three hundred eleven billion, three hundred eleven million, twelve thousand, one hundred twenty-two".