11213400 has 96 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 2716800.

The previous prime is 11213399. The next prime is 11213407. The reversal of 11213400 is 431211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5751 + ... + 7449.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^11213400 is an apocalyptic number.

11213400 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 11213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

11213400 is an abundant number, since it is smaller than the sum of its proper divisors (26730600).

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

11213400 is a wasteful number, since it uses less digits than its factorization.

11213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11213400 is about 3348.6415156000. The cubic root of 11213400 is about 223.8269816155.

Adding to 11213400 its reverse (431211), we get a palindrome (11644611).

The spelling of 11213400 in words is "eleven million, two hundred thirteen thousand, four hundred".