122325200 has 60 divisors (see below), whose sum is σ = 311191020. Its totient is φ = 46049280.

The previous prime is 122325193. The next prime is 122325209. The reversal of 122325200 is 2523221.

It can be written as a sum of positive squares in 6 ways, for example, as 2729104 + 119596096 = 1652^2 + 10936^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122325209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2195 + ... + 15794.

It is an arithmetic number, because the mean of its divisors is an integer number (5186517).

Almost surely, 2^122325200 is an apocalyptic number.

122325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122325200 is an abundant number, since it is smaller than the sum of its proper divisors (188865820).

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

122325200 is a wasteful number, since it uses less digits than its factorization.

122325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18024 (or 18013 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 122325200 is about 11060.0723324940. The cubic root of 122325200 is about 496.4078547872.

Adding to 122325200 its reverse (2523221), we get a palindrome (124848421).

The spelling of 122325200 in words is "one hundred twenty-two million, three hundred twenty-five thousand, two hundred".