11009712 has 120 divisors (see below), whose sum is σ = 34378752. Its totient is φ = 3024000.

The previous prime is 11009657. The next prime is 11009729. The reversal of 11009712 is 21790011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72837 + ... + 72987.

Almost surely, 2^11009712 is an apocalyptic number.

11009712 is a gapful number since it is divisible by the number (12) 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 11009712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189376).

11009712 is an abundant number, since it is smaller than the sum of its proper divisors (23369040).

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

11009712 is a wasteful number, since it uses less digits than its factorization.

11009712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11009712 is about 3318.0886064118. The cubic root of 11009712 is about 222.4634422115.

Adding to 11009712 its reverse (21790011), we get a palindrome (32799723).

The spelling of 11009712 in words is "eleven million, nine thousand, seven hundred twelve".