11205312 has 56 divisors (see below), whose sum is σ = 31400496. Its totient is φ = 3514368.

The previous prime is 11205289. The next prime is 11205323. The reversal of 11205312 is 21350211.

11205312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11205291 and 11205300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 4980.

Almost surely, 2^11205312 is an apocalyptic number.

11205312 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 11205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700248).

11205312 is an abundant number, since it is smaller than the sum of its proper divisors (20195184).

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

11205312 is a wasteful number, since it uses less digits than its factorization.

11205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11205312 is about 3347.4336438532. The cubic root of 11205312 is about 223.7731547046.

Adding to 11205312 its reverse (21350211), we get a palindrome (32555523).

The spelling of 11205312 in words is "eleven million, two hundred five thousand, three hundred twelve".