11325120 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 2944000.

The previous prime is 11325113. The next prime is 11325133. The reversal of 11325120 is 2152311.

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 11325120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44995 + ... + 45245.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^11325120 is an apocalyptic number.

11325120 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 11325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11325120 is an abundant number, since it is smaller than the sum of its proper divisors (25543488).

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

11325120 is a wasteful number, since it uses less digits than its factorization.

11325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

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

The square root of 11325120 is about 3365.2815632574. The cubic root of 11325120 is about 224.5678619191.

Adding to 11325120 its reverse (2152311), we get a palindrome (13477431).

The spelling of 11325120 in words is "eleven million, three hundred twenty-five thousand, one hundred twenty".