11148120 has 96 divisors (see below), whose sum is σ = 36644400. Its totient is φ = 2939136.

The previous prime is 11148119. The next prime is 11148131. The reversal of 11148120 is 2184111.

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 = 11148093 and 11148102.

It is a congruent number.

It is an unprimeable number.

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, 62191 + ... + 62369.

Almost surely, 2^11148120 is an apocalyptic number.

11148120 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 11148120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18322200).

11148120 is an abundant number, since it is smaller than the sum of its proper divisors (25496280).

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

11148120 is a wasteful number, since it uses less digits than its factorization.

11148120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

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

The square root of 11148120 is about 3338.8800517539. The cubic root of 11148120 is about 223.3917918304.

The spelling of 11148120 in words is "eleven million, one hundred forty-eight thousand, one hundred twenty".