11009124 has 81 divisors (see below), whose sum is σ = 32787027. Its totient is φ = 3105648.

The previous prime is 11009087. The next prime is 11009137. The reversal of 11009124 is 42190011.

The square root of 11009124 is 3318.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11009124² = 242401622494752, 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 = 11009097 and 11009106.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139317 + ... + 139395.

Almost surely, 2^11009124 is an apocalyptic number.

11009124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11009124 is the 3318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11009124

11009124 is an abundant number, since it is smaller than the sum of its proper divisors (21777903).

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

11009124 is a wasteful number, since it uses less digits than its factorization.

11009124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

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

The cubic root of 11009124 is about 222.4594817436.

Adding to 11009124 its reverse (42190011), we get a palindrome (53199135).

The spelling of 11009124 in words is "eleven million, nine thousand, one hundred twenty-four".