11123314400 has 288 divisors, whose sum is σ = 31655473920. Its totient is φ = 3773952000.

The previous prime is 11123314369. The next prime is 11123314417. The reversal of 11123314400 is 441332111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11870732 + ... + 11871668.

It is an arithmetic number, because the mean of its divisors is an integer number (109914840).

Almost surely, 2^11123314400 is an apocalyptic number.

11123314400 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 11123314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827736960).

11123314400 is an abundant number, since it is smaller than the sum of its proper divisors (20532159520).

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

11123314400 is a wasteful number, since it uses less digits than its factorization.

11123314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11123314400 its reverse (441332111), we get a palindrome (11564646511).

It can be divided in two parts, 11123 and 314400, that added together give a palindrome (325523).

The spelling of 11123314400 in words is "eleven billion, one hundred twenty-three million, three hundred fourteen thousand, four hundred".