56122800 has 60 divisors (see below), whose sum is σ = 179783880. Its totient is φ = 14965760.

The previous prime is 56122769. The next prime is 56122817. The reversal of 56122800 is 822165.

56122800 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 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 11 ways as a sum of consecutive naturals, for example, 22185 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (2996398).

Almost surely, 2^56122800 is an apocalyptic number.

56122800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56122800 is an abundant number, since it is smaller than the sum of its proper divisors (123661080).

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

56122800 is a wasteful number, since it uses less digits than its factorization.

56122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46790 (or 46779 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56122800 is about 7491.5152005452. The cubic root of 56122800 is about 382.8656847111.

Adding to 56122800 its reverse (822165), we get a palindrome (56944965).

The spelling of 56122800 in words is "fifty-six million, one hundred twenty-two thousand, eight hundred".