11481120 has 288 divisors, whose sum is σ = 48117888. Its totient is φ = 2433024.

The previous prime is 11481109. The next prime is 11481121. The reversal of 11481120 is 2118411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11481120² = 263632232908800, which contains 22 as substring.

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 = 11481093 and 11481102.

It is not an unprimeable number, because it can be changed into a prime (11481121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171327 + ... + 171393.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^11481120 is an apocalyptic number.

11481120 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 11481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

11481120 is an abundant number, since it is smaller than the sum of its proper divisors (36636768).

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

11481120 is a wasteful number, since it uses less digits than its factorization.

11481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11481120 is about 3388.3801439626. The cubic root of 11481120 is about 225.5942808268.

Adding to 11481120 its reverse (2118411), we get a palindrome (13599531).

The spelling of 11481120 in words is "eleven million, four hundred eighty-one thousand, one hundred twenty".