331224113220 has 1152 divisors, whose sum is σ = 1320476774400. Its totient is φ = 60929003520.

The previous prime is 331224113201. The next prime is 331224113221. The reversal of 331224113220 is 22311422133.

It is not an unprimeable number, because it can be changed into a prime (331224113221) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1664442681 + ... + 1664442879.

It is an arithmetic number, because the mean of its divisors is an integer number (1146247200).

Almost surely, 2^331224113220 is an apocalyptic number.

331224113220 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 331224113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660238387200).

331224113220 is an abundant number, since it is smaller than the sum of its proper divisors (989252661180).

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

331224113220 is a wasteful number, since it uses less digits than its factorization.

331224113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 331224113220 its reverse (22311422133), we get a palindrome (353535535353).

It can be divided in two parts, 331224 and 113220, that added together give a palindrome (444444).

The spelling of 331224113220 in words is "three hundred thirty-one billion, two hundred twenty-four million, one hundred thirteen thousand, two hundred twenty".