12200120 has 64 divisors (see below), whose sum is σ = 29160000. Its totient is φ = 4584448.

The previous prime is 12200117. The next prime is 12200129. The reversal of 12200120 is 2100221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12200098 and 12200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200129) 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 15 ways as a sum of consecutive naturals, for example, 81806 + ... + 81954.

It is an arithmetic number, because the mean of its divisors is an integer number (455625).

Almost surely, 2^12200120 is an apocalyptic number.

12200120 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 12200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580000).

12200120 is an abundant number, since it is smaller than the sum of its proper divisors (16959880).

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

12200120 is a wasteful number, since it uses less digits than its factorization.

12200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12200120 is about 3492.8670172224. The cubic root of 12200120 is about 230.2085065734.

Adding to 12200120 its reverse (2100221), we get a palindrome (14300341).

The spelling of 12200120 in words is "twelve million, two hundred thousand, one hundred twenty".