11213880 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2680832.

The previous prime is 11213843. The next prime is 11213957. The reversal of 11213880 is 8831211.

11213880 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×11213880² = 251502209308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11213880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46801 + ... + 47039.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^11213880 is an apocalyptic number.

11213880 is a gapful number since it is divisible by the number (10) 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 11213880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

11213880 is an abundant number, since it is smaller than the sum of its proper divisors (26110920).

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

11213880 is a wasteful number, since it uses less digits than its factorization.

11213880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11213880 is about 3348.7131856879. The cubic root of 11213880 is about 223.8301752772.

The spelling of 11213880 in words is "eleven million, two hundred thirteen thousand, eight hundred eighty".