122404250200 has 192 divisors, whose sum is σ = 297043845120. Its totient is φ = 46858176000.

The previous prime is 122404250141. The next prime is 122404250201. The reversal of 122404250200 is 2052404221.

122404250200 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 not an unprimeable number, because it can be changed into a prime (122404250201) 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, 441892462 + ... + 441892738.

It is an arithmetic number, because the mean of its divisors is an integer number (1547103360).

Almost surely, 2^122404250200 is an apocalyptic number.

122404250200 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 122404250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148521922560).

122404250200 is an abundant number, since it is smaller than the sum of its proper divisors (174639594920).

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

122404250200 is a wasteful number, since it uses less digits than its factorization.

122404250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 122404250200 its reverse (2052404221), we get a palindrome (124456654421).

The spelling of 122404250200 in words is "one hundred twenty-two billion, four hundred four million, two hundred fifty thousand, two hundred".