11532120 has 64 divisors (see below), whose sum is σ = 36637920. Its totient is φ = 2893824.

The previous prime is 11532119. The next prime is 11532133. The reversal of 11532120 is 2123511.

11532120 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11532120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 4866.

Almost surely, 2^11532120 is an apocalyptic number.

11532120 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 11532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318960).

11532120 is an abundant number, since it is smaller than the sum of its proper divisors (25105800).

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

11532120 is a wasteful number, since it uses less digits than its factorization.

11532120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11532120 is about 3395.8975249557. The cubic root of 11532120 is about 225.9278230371.

Adding to 11532120 its reverse (2123511), we get a palindrome (13655631).

The spelling of 11532120 in words is "eleven million, five hundred thirty-two thousand, one hundred twenty".