311424221311120 has 40 divisors (see below), whose sum is σ = 733979962706616. Its totient is φ = 122863254432768.

The previous prime is 311424221311117. The next prime is 311424221311199. The reversal of 311424221311120 is 21113122424113.

It can be written as a sum of positive squares in 4 ways, for example, as 2209159032976 + 309215062278144 = 1486324^2 + 17584512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26663026807 + ... + 26663038486.

Almost surely, 2^{311424221311120} is an apocalyptic number.

It is an amenable number.

311424221311120 is an abundant number, since it is smaller than the sum of its proper divisors (422555741395496).

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

311424221311120 is a wasteful number, since it uses less digits than its factorization.

311424221311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53326065379 (or 53326065373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 311424221311120 its reverse (21113122424113), we get a palindrome (332537343735233).

The spelling of 311424221311120 in words is "three hundred eleven trillion, four hundred twenty-four billion, two hundred twenty-one million, three hundred eleven thousand, one hundred twenty".