311012221223120 has 80 divisors (see below), whose sum is σ = 746560478356992. Its totient is φ = 120370674762240.

The previous prime is 311012221223117. The next prime is 311012221223219. The reversal of 311012221223120 is 21322122210113.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3104399 + ... + 25132881.

Almost surely, 2^{311012221223120} 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 311012221223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373280239178496).

311012221223120 is an abundant number, since it is smaller than the sum of its proper divisors (435548257133872).

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

311012221223120 is a wasteful number, since it uses less digits than its factorization.

311012221223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22034220 (or 22034214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 311012221223120 its reverse (21322122210113), we get a palindrome (332334343433233).

The spelling of 311012221223120 in words is "three hundred eleven trillion, twelve billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".