13522120 has 32 divisors (see below), whose sum is σ = 31476600. Its totient is φ = 5221888.

The previous prime is 13522079. The next prime is 13522133. The reversal of 13522120 is 2122531.

It can be written as a sum of positive squares in 4 ways, for example, as 12096484 + 1425636 = 3478^2 + 1194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13522094 and 13522103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4669 + ... + 6988.

Almost surely, 2^13522120 is an apocalyptic number.

13522120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13522120 is an abundant number, since it is smaller than the sum of its proper divisors (17954480).

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

13522120 is a wasteful number, since it uses less digits than its factorization.

13522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13522120 is about 3677.2435328653. The cubic root of 13522120 is about 238.2401361314.

Adding to 13522120 its reverse (2122531), we get a palindrome (15644651).

The spelling of 13522120 in words is "thirteen million, five hundred twenty-two thousand, one hundred twenty".