122323323200 has 168 divisors, whose sum is σ = 343213392312. Its totient is φ = 42508615680.

The previous prime is 122323323191. The next prime is 122323323203. The reversal of 122323323200 is 2323323221.

It can be written as a sum of positive squares in 12 ways, for example, as 17958144064 + 104365179136 = 134008^2 + 323056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122323323203) 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, 180632 + ... + 526568.

It is an arithmetic number, because the mean of its divisors is an integer number (2042936859).

Almost surely, 2^122323323200 is an apocalyptic number.

122323323200 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 122323323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171606696156).

122323323200 is an abundant number, since it is smaller than the sum of its proper divisors (220890069112).

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

122323323200 is a wasteful number, since it uses less digits than its factorization.

122323323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345989 (or 345974 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 122323323200 its reverse (2323323221), we get a palindrome (124646646421).

The spelling of 122323323200 in words is "one hundred twenty-two billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred".