311233320012120 has 512 divisors, whose sum is σ = 1068798100930560. Its totient is φ = 71820380160000.

The previous prime is 311233320012091. The next prime is 311233320012127. The reversal of 311233320012120 is 21210023332113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311233320012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646745595 + ... + 647226645.

It is an arithmetic number, because the mean of its divisors is an integer number (2087496290880).

Almost surely, 2^{311233320012120} is an apocalyptic number.

311233320012120 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 311233320012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534399050465280).

311233320012120 is an abundant number, since it is smaller than the sum of its proper divisors (757564780918440).

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

311233320012120 is a wasteful number, since it uses less digits than its factorization.

311233320012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481367 (or 481363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 311233320012120 its reverse (21210023332113), we get a palindrome (332443343344233).

The spelling of 311233320012120 in words is "three hundred eleven trillion, two hundred thirty-three billion, three hundred twenty million, twelve thousand, one hundred twenty".