11821216 has 72 divisors (see below), whose sum is σ = 26544672. Its totient is φ = 5174400.

The previous prime is 11821177. The next prime is 11821223. The reversal of 11821216 is 61212811.

It is a super-2 number, since 2×11821216² = 279482295437312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 166461 + ... + 166531.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 2^11821216 is an apocalyptic number.

11821216 is a gapful number since it is divisible by the number (16) 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 11821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272336).

11821216 is an abundant number, since it is smaller than the sum of its proper divisors (14723456).

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

11821216 is a wasteful number, since it uses less digits than its factorization.

11821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 192, while the sum is 22.

The square root of 11821216 is about 3438.1995288232. The cubic root of 11821216 is about 227.8001737425.

The spelling of 11821216 in words is "eleven million, eight hundred twenty-one thousand, two hundred sixteen".