11120400 has 90 divisors (see below), whose sum is σ = 38603370. Its totient is φ = 2964480.

The previous prime is 11120399. The next prime is 11120411. The reversal of 11120400 is 402111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2547216 + 8573184 = 1596^2 + 2928^2 .

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 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 17 ways as a sum of consecutive naturals, for example, 2056 + ... + 5144.

Almost surely, 2^11120400 is an apocalyptic number.

11120400 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 11120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301685).

11120400 is an abundant number, since it is smaller than the sum of its proper divisors (27482970).

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

11120400 is a wasteful number, since it uses less digits than its factorization.

11120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11120400 is about 3334.7263755817. The cubic root of 11120400 is about 223.2064822567.

Adding to 11120400 its reverse (402111), we get a palindrome (11522511).

The spelling of 11120400 in words is "eleven million, one hundred twenty thousand, four hundred".