11221054800 has 60 divisors (see below), whose sum is σ = 35944782720. Its totient is φ = 2992280960.

The previous prime is 11221054777. The next prime is 11221054811. The reversal of 11221054800 is 845012211.

11221054800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4674240 + ... + 4676639.

It is an arithmetic number, because the mean of its divisors is an integer number (599079712).

Almost surely, 2^11221054800 is an apocalyptic number.

11221054800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221054800 is an abundant number, since it is smaller than the sum of its proper divisors (24723727920).

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

11221054800 is a wasteful number, since it uses less digits than its factorization.

11221054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350900 (or 9350889 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 11221054800 in words is "eleven billion, two hundred twenty-one million, fifty-four thousand, eight hundred".