212641200 has 150 divisors (see below), whose sum is σ = 763268484. Its totient is φ = 56695680.

The previous prime is 212641171. The next prime is 212641201. The reversal of 212641200 is 2146212.

212641200 is a `hidden beast` number, since 2 + 1 + 2 + 641 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (212641201) 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 29 ways as a sum of consecutive naturals, for example, 29119 + ... + 35681.

Almost surely, 2^212641200 is an apocalyptic number.

212641200 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 212641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381634242).

212641200 is an abundant number, since it is smaller than the sum of its proper divisors (550627284).

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

212641200 is a wasteful number, since it uses less digits than its factorization.

212641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212641200 is about 14582.2220528972. Note that the first 3 decimals coincide. The cubic root of 212641200 is about 596.8737391127.

Adding to 212641200 its reverse (2146212), we get a palindrome (214787412).

The spelling of 212641200 in words is "two hundred twelve million, six hundred forty-one thousand, two hundred".