11921184 has 144 divisors (see below), whose sum is σ = 38211264. Its totient is φ = 3494400.

The previous prime is 11921183. The next prime is 11921197. The reversal of 11921184 is 48112911.

11921184 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 tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11921184² = 284229255923712, which contains 22 as substring.

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 (11921183) 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, 167869 + ... + 167939.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^11921184 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 11921184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632).

11921184 is an abundant number, since it is smaller than the sum of its proper divisors (26290080).

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

11921184 is a wasteful number, since it uses less digits than its factorization.

11921184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11921184 is about 3452.7067642648. The cubic root of 11921184 is about 228.4405149148.

The spelling of 11921184 in words is "eleven million, nine hundred twenty-one thousand, one hundred eighty-four".