212200320400 has 60 divisors (see below), whose sum is σ = 518452196400. Its totient is φ = 83441472640.

The previous prime is 212200320391. The next prime is 212200320403. The reversal of 212200320400 is 4023002212.

212200320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (212200320403) 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 11 ways as a sum of consecutive naturals, for example, 4472170 + ... + 4519369.

It is an arithmetic number, because the mean of its divisors is an integer number (8640869940).

Almost surely, 2^212200320400 is an apocalyptic number.

212200320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200320400 is an abundant number, since it is smaller than the sum of its proper divisors (306251876000).

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

212200320400 is a wasteful number, since it uses less digits than its factorization.

212200320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991616 (or 8991605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212200320400 its reverse (4023002212), we get a palindrome (216223322612).

The spelling of 212200320400 in words is "two hundred twelve billion, two hundred million, three hundred twenty thousand, four hundred".