320422442432120 has 128 divisors (see below), whose sum is σ = 829988615548800. Its totient is φ = 109053157441536.

The previous prime is 320422442432111. The next prime is 320422442432143. The reversal of 320422442432120 is 21234244224023.

It is a super-2 number, since 2×320422442432120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134125594 + ... + 1134408086.

It is an arithmetic number, because the mean of its divisors is an integer number (6484286058975).

Almost surely, 2^{320422442432120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320422442432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414994307774400).

320422442432120 is an abundant number, since it is smaller than the sum of its proper divisors (509566173116680).

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

320422442432120 is a wasteful number, since it uses less digits than its factorization.

320422442432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312217 (or 312213 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 320422442432120 its reverse (21234244224023), we get a palindrome (341656686656143).

The spelling of 320422442432120 in words is "three hundred twenty trillion, four hundred twenty-two billion, four hundred forty-two million, four hundred thirty-two thousand, one hundred twenty".