11812248 has 96 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3225024.

The previous prime is 11812231. The next prime is 11812249. The reversal of 11812248 is 84221811.

11812248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11083 + ... + 12101.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^11812248 is an apocalyptic number.

11812248 is a gapful number since it is divisible by the number (18) 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 11812248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

11812248 is an abundant number, since it is smaller than the sum of its proper divisors (26376552).

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

11812248 is a wasteful number, since it uses less digits than its factorization.

11812248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11812248 is about 3436.8951104158. The cubic root of 11812248 is about 227.7425533650.

The spelling of 11812248 in words is "eleven million, eight hundred twelve thousand, two hundred forty-eight".