212201200 has 120 divisors (see below), whose sum is σ = 534469760. Its totient is φ = 80870400.

The previous prime is 212201159. The next prime is 212201201. The reversal of 212201200 is 2102212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201201) 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, 1351522 + ... + 1351678.

Almost surely, 2^212201200 is an apocalyptic number.

212201200 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 212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267234880).

212201200 is an abundant number, since it is smaller than the sum of its proper divisors (322268560).

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

212201200 is a wasteful number, since it uses less digits than its factorization.

212201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212201200 is about 14567.1273763910. The cubic root of 212201200 is about 596.4617684696.

Adding to 212201200 its reverse (2102212), we get a palindrome (214303412).

The spelling of 212201200 in words is "two hundred twelve million, two hundred one thousand, two hundred".