212088800 has 216 divisors, whose sum is σ = 652489488. Its totient is φ = 65894400.

The previous prime is 212088797. The next prime is 212088809. The reversal of 212088800 is 8880212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212088809) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 677444 + ... + 677756.

Almost surely, 2^212088800 is an apocalyptic number.

212088800 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 212088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326244744).

212088800 is an abundant number, since it is smaller than the sum of its proper divisors (440400688).

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

212088800 is a wasteful number, since it uses less digits than its factorization.

212088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 212088800 is about 14563.2688638231. The cubic root of 212088800 is about 596.3564373917.

The spelling of 212088800 in words is "two hundred twelve million, eighty-eight thousand, eight hundred".