11121300 has 90 divisors (see below), whose sum is σ = 36077118. Its totient is φ = 2963520.

The previous prime is 11121223. The next prime is 11121307. The reversal of 11121300 is 312111.

It can be written as a sum of positive squares in 3 ways, for example, as 3437316 + 7683984 = 1854^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121307) 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 29 ways as a sum of consecutive naturals, for example, 7414 + ... + 8786.

Almost surely, 2^11121300 is an apocalyptic number.

11121300 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 11121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038559).

11121300 is an abundant number, since it is smaller than the sum of its proper divisors (24955818).

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

11121300 is a wasteful number, since it uses less digits than its factorization.

11121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11121300 is about 3334.8613164568. The cubic root of 11121300 is about 223.2125036353.

Adding to 11121300 its reverse (312111), we get a palindrome (11433411).

The spelling of 11121300 in words is "eleven million, one hundred twenty-one thousand, three hundred".