211224000800 has 54 divisors (see below), whose sum is σ = 515682328203. Its totient is φ = 84484400640.

The previous prime is 211224000797. The next prime is 211224000803. The reversal of 211224000800 is 8000422112.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

211224000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211224000797) and next prime (211224000803).

It can be written as a sum of positive squares in 5 ways, for example, as 96191781904 + 115032218896 = 310148^2 + 339164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=324980.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211224000803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12991076 + ... + 13007324.

Almost surely, 2^211224000800 is an apocalyptic number.

211224000800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211224000800 is an abundant number, since it is smaller than the sum of its proper divisors (304458327403).

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

211224000800 is an frugal number, since it uses more digits than its factorization.

211224000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211224000800 its reverse (8000422112), we get a palindrome (219224422912).

The spelling of 211224000800 in words is "two hundred eleven billion, two hundred twenty-four million, eight hundred", and thus it is an aban number.