11232312 has 128 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 2861568.

The previous prime is 11232301. The next prime is 11232329. The reversal of 11232312 is 21323211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11232291 and 11232300.

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 31 ways as a sum of consecutive naturals, for example, 80739 + ... + 80877.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 2^11232312 is an apocalyptic number.

11232312 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 11232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

11232312 is an abundant number, since it is smaller than the sum of its proper divisors (24518088).

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

11232312 is a wasteful number, since it uses less digits than its factorization.

11232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 11232312 is about 3351.4641576481. The cubic root of 11232312 is about 223.9527430071.

Adding to 11232312 its reverse (21323211), we get a palindrome (32555523).

It can be divided in two parts, 11232 and 312, that multiplied together give a square (3504384 = 1872²).

The spelling of 11232312 in words is "eleven million, two hundred thirty-two thousand, three hundred twelve".