122211200 has 96 divisors (see below), whose sum is σ = 305006520. Its totient is φ = 48384000.

The previous prime is 122211197. The next prime is 122211209. The reversal of 122211200 is 2112221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211209) 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, 579095 + ... + 579305.

Almost surely, 2^122211200 is an apocalyptic number.

122211200 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 122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152503260).

122211200 is an abundant number, since it is smaller than the sum of its proper divisors (182795320).

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

122211200 is a wasteful number, since it uses less digits than its factorization.

122211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122211200 is about 11054.9174578556. The cubic root of 122211200 is about 496.2535990704.

Adding to 122211200 its reverse (2112221), we get a palindrome (124323421).

The spelling of 122211200 in words is "one hundred twenty-two million, two hundred eleven thousand, two hundred".