212424800 has 108 divisors (see below), whose sum is σ = 603359820. Its totient is φ = 72817920.

The previous prime is 212424791. The next prime is 212424827. The reversal of 212424800 is 8424212.

It is a happy number.

212424800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36491 + ... + 41909.

It is an arithmetic number, because the mean of its divisors is an integer number (5586665).

Almost surely, 2^212424800 is an apocalyptic number.

212424800 is a gapful number since it is divisible by the number (20) 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 212424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301679910).

212424800 is an abundant number, since it is smaller than the sum of its proper divisors (390935020).

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

212424800 is a wasteful number, since it uses less digits than its factorization.

212424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 212424800 is about 14574.8001701567. The cubic root of 212424800 is about 596.6711955518.

The spelling of 212424800 in words is "two hundred twelve million, four hundred twenty-four thousand, eight hundred".