122320000320 has 224 divisors, whose sum is σ = 445172153088. Its totient is φ = 27875377152.

The previous prime is 122320000273. The next prime is 122320000321. The reversal of 122320000320 is 23000023221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122320000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122320000321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237634 + ... + 2291646.

Almost surely, 2^122320000320 is an apocalyptic number.

122320000320 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 122320000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222586076544).

122320000320 is an abundant number, since it is smaller than the sum of its proper divisors (322852152768).

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

122320000320 is a wasteful number, since it uses less digits than its factorization.

122320000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54377 (or 54367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122320000320 its reverse (23000023221), we get a palindrome (145320023541).

The spelling of 122320000320 in words is "one hundred twenty-two billion, three hundred twenty million, three hundred twenty", and thus it is an aban number.