122221200 has 120 divisors (see below), whose sum is σ = 394394400. Its totient is φ = 32353280.

The previous prime is 122221181. The next prime is 122221201. The reversal of 122221200 is 2122221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214516 + ... + 215084.

It is an arithmetic number, because the mean of its divisors is an integer number (3286620).

Almost surely, 2^122221200 is an apocalyptic number.

122221200 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 122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197197200).

122221200 is an abundant number, since it is smaller than the sum of its proper divisors (272173200).

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

122221200 is a wasteful number, since it uses less digits than its factorization.

122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122221200 is about 11055.3697360152. The cubic root of 122221200 is about 496.2671341109.

Adding to 122221200 its reverse (2122221), we get a palindrome (124343421).

It can be divided in two parts, 1222 and 21200, that added together give a palindrome (22422).

The spelling of 122221200 in words is "one hundred twenty-two million, two hundred twenty-one thousand, two hundred".