320122123020 has 144 divisors (see below), whose sum is σ = 1111218308928. Its totient is φ = 73074401280.

The previous prime is 320122122973. The next prime is 320122123037. The reversal of 320122123020 is 20321221023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320122122984 and 320122123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791932 + ... + 1125788.

It is an arithmetic number, because the mean of its divisors is an integer number (7716793812).

Almost surely, 2^320122123020 is an apocalyptic number.

320122123020 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 320122123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555609154464).

320122123020 is an abundant number, since it is smaller than the sum of its proper divisors (791096185908).

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

320122123020 is a wasteful number, since it uses less digits than its factorization.

320122123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334640 (or 334635 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320122123020 its reverse (20321221023), we get a palindrome (340443344043).

The spelling of 320122123020 in words is "three hundred twenty billion, one hundred twenty-two million, one hundred twenty-three thousand, twenty".