122304000000 has 1092 divisors, whose sum is σ = 510651119832. Its totient is φ = 25804800000.

The previous prime is 122303999953. The next prime is 122304000001. The reversal of 122304000000 is 403221.

It is a tau number, because it is divible by the number of its divisors (1092).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122304000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122304000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9407999994 + ... + 9408000006.

Almost surely, 2^122304000000 is an apocalyptic number.

122304000000 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 122304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255325559916).

122304000000 is an abundant number, since it is smaller than the sum of its proper divisors (388347119832).

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

122304000000 is an frugal number, since it uses more digits than its factorization.

122304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122304000000 its reverse (403221), we get a palindrome (122304403221).

The spelling of 122304000000 in words is "one hundred twenty-two billion, three hundred four million", and thus it is an aban number.