11049120 has 72 divisors (see below), whose sum is σ = 37710036. Its totient is φ = 2946048.

The previous prime is 11049109. The next prime is 11049121. The reversal of 11049120 is 2194011.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 144 = 3324^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 11049093 and 11049102.

It is not an unprimeable number, because it can be changed into a prime (11049121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2397 + ... + 5276.

Almost surely, 2^11049120 is an apocalyptic number.

11049120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11049120 is an abundant number, since it is smaller than the sum of its proper divisors (26660916).

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

11049120 is a wasteful number, since it uses less digits than its factorization.

11049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11049120 is about 3324.0216605792. The cubic root of 11049120 is about 222.7285536003.

The spelling of 11049120 in words is "eleven million, forty-nine thousand, one hundred twenty".