122322023200 has 144 divisors (see below), whose sum is σ = 332679410280. Its totient is φ = 43607531520.

The previous prime is 122322023191. The next prime is 122322023203. The reversal of 122322023200 is 2320223221.

It can be written as a sum of positive squares in 12 ways, for example, as 1109422864 + 121212600336 = 33308^2 + 348156^2 .

It is not an unprimeable number, because it can be changed into a prime (122322023203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98812 + ... + 504388.

Almost surely, 2^122322023200 is an apocalyptic number.

122322023200 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 122322023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166339705140).

122322023200 is an abundant number, since it is smaller than the sum of its proper divisors (210357387080).

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

122322023200 is a wasteful number, since it uses less digits than its factorization.

122322023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405639 (or 405626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 122322023200 its reverse (2320223221), we get a palindrome (124642246421).

The spelling of 122322023200 in words is "one hundred twenty-two billion, three hundred twenty-two million, twenty-three thousand, two hundred".