11832120 has 96 divisors (see below), whose sum is σ = 40154400. Its totient is φ = 3015936.

The previous prime is 11832113. The next prime is 11832127. The reversal of 11832120 is 2123811.

It is an interprime number because it is at equal distance from previous prime (11832113) and next prime (11832127).

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 = 11832093 and 11832102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11832127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7566 + ... + 8994.

It is an arithmetic number, because the mean of its divisors is an integer number (418275).

Almost surely, 2^11832120 is an apocalyptic number.

11832120 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 11832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077200).

11832120 is an abundant number, since it is smaller than the sum of its proper divisors (28322280).

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

11832120 is a wasteful number, since it uses less digits than its factorization.

11832120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11832120 is about 3439.7848769945. The cubic root of 11832120 is about 227.8701938869.

Adding to 11832120 its reverse (2123811), we get a palindrome (13955931).

It can be divided in two parts, 118321 and 20, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 11832120 in words is "eleven million, eight hundred thirty-two thousand, one hundred twenty".