11211984 has 120 divisors (see below), whose sum is σ = 36753600. Its totient is φ = 3189312.

The previous prime is 11211961. The next prime is 11211989. The reversal of 11211984 is 48911211.

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 (11211989) 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, 49279 + ... + 49505.

It is an arithmetic number, because the mean of its divisors is an integer number (306280).

Almost surely, 2^11211984 is an apocalyptic number.

11211984 is a gapful number since it is divisible by the number (14) 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 11211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376800).

11211984 is an abundant number, since it is smaller than the sum of its proper divisors (25541616).

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

11211984 is a wasteful number, since it uses less digits than its factorization.

11211984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

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

The square root of 11211984 is about 3348.4300799031. The cubic root of 11211984 is about 223.8175597825.

The spelling of 11211984 in words is "eleven million, two hundred eleven thousand, nine hundred eighty-four".