11204112400 has 120 divisors (see below), whose sum is σ = 29397743424. Its totient is φ = 4078502400.

The previous prime is 11204112341. The next prime is 11204112401. The reversal of 11204112400 is 421140211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11204112401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 354027 + ... + 384373.

Almost surely, 2^11204112400 is an apocalyptic number.

11204112400 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 11204112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698871712).

11204112400 is an abundant number, since it is smaller than the sum of its proper divisors (18193631024).

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

11204112400 is a wasteful number, since it uses less digits than its factorization.

11204112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30449 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11204112400 its reverse (421140211), we get a palindrome (11625252611).

The spelling of 11204112400 in words is "eleven billion, two hundred four million, one hundred twelve thousand, four hundred".