11212884 has 48 divisors (see below), whose sum is σ = 29702400. Its totient is φ = 3658104.

The previous prime is 11212867. The next prime is 11212913. The reversal of 11212884 is 48821211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238549 + ... + 238595.

It is an arithmetic number, because the mean of its divisors is an integer number (618800).

Almost surely, 2^11212884 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 11212884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851200).

11212884 is an abundant number, since it is smaller than the sum of its proper divisors (18489516).

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

11212884 is an frugal number, since it uses more digits than its factorization.

11212884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 52 counting only the distinct ones).

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

The square root of 11212884 is about 3348.5644685447. The cubic root of 11212884 is about 223.8235483275.

Multiplying 11212884 by its product of digits (1024), we get a cube (11481993216 = 2256³).

It can be divided in two parts, 1121 and 2884, that added together give a triangular number (4005 = T₈₉).

The spelling of 11212884 in words is "eleven million, two hundred twelve thousand, eight hundred eighty-four".