212500800 has 168 divisors, whose sum is σ = 774801600. Its totient is φ = 56655360.

The previous prime is 212500789. The next prime is 212500811. The reversal of 212500800 is 8005212.

212500800 is digitally balanced in base 3, 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 (212500789) and next prime (212500811).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40741 + ... + 45659.

Almost surely, 2^212500800 is an apocalyptic number.

212500800 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 212500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387400800).

212500800 is an abundant number, since it is smaller than the sum of its proper divisors (562300800).

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

212500800 is a wasteful number, since it uses less digits than its factorization.

212500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212500800 is about 14577.4071768610. The cubic root of 212500800 is about 596.7423448149.

The spelling of 212500800 in words is "two hundred twelve million, five hundred thousand, eight hundred".