311122203212040 has 1536 divisors, whose sum is σ = 1090594097049600. Its totient is φ = 70351186452480.

The previous prime is 311122203212033. The next prime is 311122203212059. The reversal of 311122203212040 is 40212302221113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 311122203212040.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1908725172999 + ... + 1908725173161.

It is an arithmetic number, because the mean of its divisors is an integer number (710022198600).

Almost surely, 2^{311122203212040} is an apocalyptic number.

311122203212040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311122203212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545297048524800).

311122203212040 is an abundant number, since it is smaller than the sum of its proper divisors (779471893837560).

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

311122203212040 is a wasteful number, since it uses less digits than its factorization.

311122203212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 311122203212040 its reverse (40212302221113), we get a palindrome (351334505433153).

The spelling of 311122203212040 in words is "three hundred eleven trillion, one hundred twenty-two billion, two hundred three million, two hundred twelve thousand, forty".