13200120 has 96 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3421440.

The previous prime is 13200119. The next prime is 13200169. The reversal of 13200120 is 2100231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12825 + ... + 13815.

It is an arithmetic number, because the mean of its divisors is an integer number (459420).

Almost surely, 2^13200120 is an apocalyptic number.

13200120 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 13200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

13200120 is an abundant number, since it is smaller than the sum of its proper divisors (30904200).

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

13200120 is a wasteful number, since it uses less digits than its factorization.

13200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13200120 is about 3633.1969393359. The cubic root of 13200120 is about 236.3338662524. Note that the first 3 decimals are identical.

Adding to 13200120 its reverse (2100231), we get a palindrome (15300351).

The spelling of 13200120 in words is "thirteen million, two hundred thousand, one hundred twenty".