122212800 has 420 divisors, whose sum is σ = 480188016. Its totient is φ = 30412800.

The previous prime is 122212793. The next prime is 122212817. The reversal of 122212800 is 8212221.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 2980780 + ... + 2980820.

Almost surely, 2^122212800 is an apocalyptic number.

122212800 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 122212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240094008).

122212800 is an abundant number, since it is smaller than the sum of its proper divisors (357975216).

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

122212800 is a wasteful number, since it uses less digits than its factorization.

122212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122212800 is about 11054.9898236045. The cubic root of 122212800 is about 496.2557647265.

The spelling of 122212800 in words is "one hundred twenty-two million, two hundred twelve thousand, eight hundred".