11838112 has 72 divisors (see below), whose sum is σ = 27669600. Its totient is φ = 4942080.

The previous prime is 11838107. The next prime is 11838131. The reversal of 11838112 is 21183811.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59389 + ... + 59587.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 2^11838112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834800).

11838112 is an abundant number, since it is smaller than the sum of its proper divisors (15831488).

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

11838112 is a wasteful number, since it uses less digits than its factorization.

11838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its digits is 384, while the sum is 25.

The square root of 11838112 is about 3440.6557514520. The cubic root of 11838112 is about 227.9086532607.

The spelling of 11838112 in words is "eleven million, eight hundred thirty-eight thousand, one hundred twelve".