11333120 has 80 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 4276224.

The previous prime is 11333111. The next prime is 11333131. The reversal of 11333120 is 2133311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11333095 and 11333104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48524 + ... + 48756.

It is an arithmetic number, because the mean of its divisors is an integer number (359073).

Almost surely, 2^11333120 is an apocalyptic number.

11333120 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 11333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

11333120 is an abundant number, since it is smaller than the sum of its proper divisors (17392720).

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

11333120 is an equidigital number, since it uses as much as digits as its factorization.

11333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 11333120 is about 3366.4699612502. The cubic root of 11333120 is about 224.6207272909.

Adding to 11333120 its reverse (2133311), we get a palindrome (13466431).

It can be divided in two parts, 113 and 33120, that added together give a palindrome (33233).

The spelling of 11333120 in words is "eleven million, three hundred thirty-three thousand, one hundred twenty".