122355200 has 180 divisors, whose sum is σ = 337426320. Its totient is φ = 43929600.

The previous prime is 122355169. The next prime is 122355209. The reversal of 122355200 is 2553221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122355209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1548761 + ... + 1548839.

Almost surely, 2^122355200 is an apocalyptic number.

122355200 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 122355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168713160).

122355200 is an abundant number, since it is smaller than the sum of its proper divisors (215071120).

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

122355200 is an equidigital number, since it uses as much as digits as its factorization.

122355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 122355200 is about 11061.4284791794. The cubic root of 122355200 is about 496.4484324670.

The spelling of 122355200 in words is "one hundred twenty-two million, three hundred fifty-five thousand, two hundred".