212200800 has 288 divisors, whose sum is σ = 836946432. Its totient is φ = 45588480.

The previous prime is 212200799. The next prime is 212200811. The reversal of 212200800 is 8002212.

212200800 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212200800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285229 + ... + 285971.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^212200800 is an apocalyptic number.

212200800 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 212200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418473216).

212200800 is an abundant number, since it is smaller than the sum of its proper divisors (624745632).

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

212200800 is a wasteful number, since it uses less digits than its factorization.

212200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212200800 is about 14567.1136468416. The cubic root of 212200800 is about 596.4613936919.

The spelling of 212200800 in words is "two hundred twelve million, two hundred thousand, eight hundred".