320012222232120 has 256 divisors, whose sum is σ = 1062983696947200. Its totient is φ = 76417993935360.

The previous prime is 320012222232061. The next prime is 320012222232161. The reversal of 320012222232120 is 21232222210023.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3302212707 + ... + 3302309613.

It is an arithmetic number, because the mean of its divisors is an integer number (4152280066200).

Almost surely, 2^{320012222232120} is an apocalyptic number.

320012222232120 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 320012222232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531491848473600).

320012222232120 is an abundant number, since it is smaller than the sum of its proper divisors (742971474715080).

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

320012222232120 is a wasteful number, since it uses less digits than its factorization.

320012222232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134338 (or 134334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 320012222232120 its reverse (21232222210023), we get a palindrome (341244444442143).

The spelling of 320012222232120 in words is "three hundred twenty trillion, twelve billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred twenty".