11253312 has 84 divisors (see below), whose sum is σ = 36876736. Its totient is φ = 3214080.

The previous prime is 11253283. The next prime is 11253323. The reversal of 11253312 is 21335211.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637 + ... + 5427.

Almost surely, 2^11253312 is an apocalyptic number.

11253312 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 11253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438368).

11253312 is an abundant number, since it is smaller than the sum of its proper divisors (25623424).

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

11253312 is a wasteful number, since it uses less digits than its factorization.

11253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2803 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11253312 is about 3354.5956537264. The cubic root of 11253312 is about 224.0922239297.

Adding to 11253312 its reverse (21335211), we get a palindrome (32588523).

The spelling of 11253312 in words is "eleven million, two hundred fifty-three thousand, three hundred twelve".