122310320 has 80 divisors (see below), whose sum is σ = 323764992. Its totient is φ = 42535680.

The previous prime is 122310319. The next prime is 122310413. The reversal of 122310320 is 23013221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122310295 and 122310304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17219 + ... + 23261.

Almost surely, 2^122310320 is an apocalyptic number.

122310320 is a gapful number since it is divisible by the number (10) 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 122310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161882496).

122310320 is an abundant number, since it is smaller than the sum of its proper divisors (201454672).

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

122310320 is a wasteful number, since it uses less digits than its factorization.

122310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122310320 is about 11059.3996220410. The cubic root of 122310320 is about 496.3877257966.

Adding to 122310320 its reverse (23013221), we get a palindrome (145323541).

The spelling of 122310320 in words is "one hundred twenty-two million, three hundred ten thousand, three hundred twenty".