122123323200 has 168 divisors, whose sum is σ = 400829434560. Its totient is φ = 32552960000.

The previous prime is 122123323163. The next prime is 122123323211. The reversal of 122123323200 is 2323321221.

It is a happy number.

122123323200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19201621 + ... + 19207979.

Almost surely, 2^122123323200 is an apocalyptic number.

122123323200 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 122123323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200414717280).

122123323200 is an abundant number, since it is smaller than the sum of its proper divisors (278706111360).

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

122123323200 is a wasteful number, since it uses less digits than its factorization.

122123323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122123323200 its reverse (2323321221), we get a palindrome (124446644421).

The spelling of 122123323200 in words is "one hundred twenty-two billion, one hundred twenty-three million, three hundred twenty-three thousand, two hundred".