122305223300 has 144 divisors (see below), whose sum is σ = 303353365392. Its totient is φ = 42400972800.

The previous prime is 122305223279. The next prime is 122305223303. The reversal of 122305223300 is 3322503221.

It can be written as a sum of positive squares in 24 ways, for example, as 94391501824 + 27913721476 = 307232^2 + 167074^2 .

It is not an unprimeable number, because it can be changed into a prime (122305223303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9562910 + ... + 9575690.

It is an arithmetic number, because the mean of its divisors is an integer number (2106620593).

Almost surely, 2^122305223300 is an apocalyptic number.

122305223300 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 122305223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151676682696).

122305223300 is an abundant number, since it is smaller than the sum of its proper divisors (181048142092).

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

122305223300 is a wasteful number, since it uses less digits than its factorization.

122305223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13258 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 122305223300 its reverse (3322503221), we get a palindrome (125627726521).

The spelling of 122305223300 in words is "one hundred twenty-two billion, three hundred five million, two hundred twenty-three thousand, three hundred".