11205012 has 96 divisors (see below), whose sum is σ = 33316864. Its totient is φ = 2851200.

The previous prime is 11204993. The next prime is 11205017. The reversal of 11205012 is 21050211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33687 + ... + 34017.

Almost surely, 2^11205012 is an apocalyptic number.

11205012 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 11205012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658432).

11205012 is an abundant number, since it is smaller than the sum of its proper divisors (22111852).

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

11205012 is a wasteful number, since it uses less digits than its factorization.

11205012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11205012 is about 3347.3888331056. The cubic root of 11205012 is about 223.7711576593.

Adding to 11205012 its reverse (21050211), we get a palindrome (32255223).

The spelling of 11205012 in words is "eleven million, two hundred five thousand, twelve".