212445200 has 120 divisors (see below), whose sum is σ = 567927936. Its totient is φ = 75712000.

The previous prime is 212445193. The next prime is 212445203. The reversal of 212445200 is 2544212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212445203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232745 + ... + 233655.

Almost surely, 2^212445200 is an apocalyptic number.

212445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14575×14576.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283963968).

212445200 is an abundant number, since it is smaller than the sum of its proper divisors (355482736).

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

212445200 is a wasteful number, since it uses less digits than its factorization.

212445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 212445200 is about 14575.4999914240. The cubic root of 212445200 is about 596.6902951779.

Adding to 212445200 its reverse (2544212), we get a palindrome (214989412).

The spelling of 212445200 in words is "two hundred twelve million, four hundred forty-five thousand, two hundred".