311222420334 has 288 divisors, whose sum is σ = 854952284160. Its totient is φ = 81272419200.

The previous prime is 311222420323. The next prime is 311222420347. The reversal of 311222420334 is 433024222113.

311222420334 is a `hidden beast` number, since 3 + 11 + 222 + 420 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311222420298 and 311222420307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218707947 + ... + 218709369.

It is an arithmetic number, because the mean of its divisors is an integer number (2968584320).

Almost surely, 2^311222420334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311222420334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427476142080).

311222420334 is an abundant number, since it is smaller than the sum of its proper divisors (543729863826).

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

311222420334 is a wasteful number, since it uses less digits than its factorization.

311222420334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 311222420334 its reverse (433024222113), we get a palindrome (744246642447).

The spelling of 311222420334 in words is "three hundred eleven billion, two hundred twenty-two million, four hundred twenty thousand, three hundred thirty-four".