122245200 has 600 divisors, whose sum is σ = 558148800. Its totient is φ = 25401600.

The previous prime is 122245199. The next prime is 122245217. The reversal of 122245200 is 2542221.

122245200 is a `hidden beast` number, since 122 + 24 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11113195 + ... + 11113205.

It is an arithmetic number, because the mean of its divisors is an integer number (930248).

Almost surely, 2^122245200 is an apocalyptic number.

122245200 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 122245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279074400).

122245200 is an abundant number, since it is smaller than the sum of its proper divisors (435903600).

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

122245200 is a wasteful number, since it uses less digits than its factorization.

122245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122245200 is about 11056.4551281141. The cubic root of 122245200 is about 496.2996151964.

Adding to 122245200 its reverse (2542221), we get a palindrome (124787421).

It can be divided in two parts, 12224 and 5200, that added together give a square (17424 = 132²).

The spelling of 122245200 in words is "one hundred twenty-two million, two hundred forty-five thousand, two hundred".