13209120 has 72 divisors (see below), whose sum is σ = 45081036. Its totient is φ = 3522048.

The previous prime is 13209109. The next prime is 13209121. The reversal of 13209120 is 2190231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 1838736 = 3372^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13209093 and 13209102.

It is not an unprimeable number, because it can be changed into a prime (13209121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3147 + ... + 6026.

Almost surely, 2^13209120 is an apocalyptic number.

13209120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13209120 is an abundant number, since it is smaller than the sum of its proper divisors (31871916).

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

13209120 is a wasteful number, since it uses less digits than its factorization.

13209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13209120 is about 3634.4353068943. The cubic root of 13209120 is about 236.3875658039.

Adding to 13209120 its reverse (2190231), we get a palindrome (15399351).

It can be divided in two parts, 1320 and 9120, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 13209120 in words is "thirteen million, two hundred nine thousand, one hundred twenty".