11334120 has 128 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 2545920.

The previous prime is 11334091. The next prime is 11334139. The reversal of 11334120 is 2143311.

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 11334120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86455 + ... + 86585.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 2^11334120 is an apocalyptic number.

11334120 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 11334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

11334120 is an abundant number, since it is smaller than the sum of its proper divisors (28202520).

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

11334120 is a wasteful number, since it uses less digits than its factorization.

11334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11334120 is about 3366.6184815034. The cubic root of 11334120 is about 224.6273337129.

Adding to 11334120 its reverse (2143311), we get a palindrome (13477431).

It can be divided in two parts, 1133 and 4120, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 11334120 in words is "eleven million, three hundred thirty-four thousand, one hundred twenty".