212521200 has 60 divisors (see below), whose sum is σ = 680780088. Its totient is φ = 56672000.

The previous prime is 212521189. The next prime is 212521201. The reversal of 212521200 is 2125212.

It is a tau number, because it is divible by the number of its divisors (60).

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 212521200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212521201) 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 11 ways as a sum of consecutive naturals, for example, 87351 + ... + 89750.

Almost surely, 2^212521200 is an apocalyptic number.

212521200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212521200 is an abundant number, since it is smaller than the sum of its proper divisors (468258888).

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

212521200 is a wasteful number, since it uses less digits than its factorization.

212521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177122 (or 177111 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 212521200 is about 14578.1068729791. The cubic root of 212521200 is about 596.7614398870.

Adding to 212521200 its reverse (2125212), we get a palindrome (214646412).

Multiplying 212521200 by its reverse (2125212), we get a square (451652604494400 = 21252120²).

212521200 divided by its reverse (2125212) gives a square (100 = 10²).

The spelling of 212521200 in words is "two hundred twelve million, five hundred twenty-one thousand, two hundred".