311241221214 has 256 divisors, whose sum is σ = 844958269440. Its totient is φ = 73969200000.

The previous prime is 311241221201. The next prime is 311241221231. The reversal of 311241221214 is 412122142113.

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 127 ways as a sum of consecutive naturals, for example, 204359857 + ... + 204361379.

It is an arithmetic number, because the mean of its divisors is an integer number (3300618240).

Almost surely, 2^311241221214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311241221214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422479134720).

311241221214 is an abundant number, since it is smaller than the sum of its proper divisors (533717048226).

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

311241221214 is a wasteful number, since it uses less digits than its factorization.

311241221214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347.

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

Adding to 311241221214 its reverse (412122142113), we get a palindrome (723363363327).

The spelling of 311241221214 in words is "three hundred eleven billion, two hundred forty-one million, two hundred twenty-one thousand, two hundred fourteen".