11003120 has 40 divisors (see below), whose sum is σ = 25920960. Its totient is φ = 4343040.

The previous prime is 11003107. The next prime is 11003137. The reversal of 11003120 is 2130011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11003098 and 11003107.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5450 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (648024).

Almost surely, 2^11003120 is an apocalyptic number.

11003120 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 11003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960480).

11003120 is an abundant number, since it is smaller than the sum of its proper divisors (14917840).

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

11003120 is a wasteful number, since it uses less digits than its factorization.

11003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11003120 is about 3317.0951147050. The cubic root of 11003120 is about 222.4190337901.

Adding to 11003120 its reverse (2130011), we get a palindrome (13133131).

The spelling of 11003120 in words is "eleven million, three thousand, one hundred twenty".