13126720 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 4644864.

The previous prime is 13126717. The next prime is 13126723. The reversal of 13126720 is 2762131.

It is an interprime number because it is at equal distance from previous prime (13126717) and next prime (13126723).

It is a junction number, because it is equal to n+sod(n) for n = 13126691 and 13126700.

It is not an unprimeable number, because it can be changed into a prime (13126723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103297 + ... + 103423.

Almost surely, 2^13126720 is an apocalyptic number.

13126720 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 13126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

13126720 is an abundant number, since it is smaller than the sum of its proper divisors (21986240).

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

13126720 is a wasteful number, since it uses less digits than its factorization.

13126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13126720 is about 3623.0815613232. The cubic root of 13126720 is about 235.8950026085.

Adding to 13126720 its reverse (2762131), we get a palindrome (15888851).

The spelling of 13126720 in words is "thirteen million, one hundred twenty-six thousand, seven hundred twenty".