212621200 has 180 divisors, whose sum is σ = 588962304. Its totient is φ = 73568000.

The previous prime is 212621161. The next prime is 212621209. The reversal of 212621200 is 2126212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212621209) 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 35 ways as a sum of consecutive naturals, for example, 1113105 + ... + 1113295.

Almost surely, 2^212621200 is an apocalyptic number.

212621200 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 212621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

212621200 is an abundant number, since it is smaller than the sum of its proper divisors (376341104).

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

212621200 is a wasteful number, since it uses less digits than its factorization.

212621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212621200 is about 14581.5362702289. The cubic root of 212621200 is about 596.8550255096.

Adding to 212621200 its reverse (2126212), we get a palindrome (214747412).

Multiplying 212621200 by its reverse (2126212), we get a square (452077746894400 = 21262120²).

212621200 divided by its reverse (2126212) gives a square (100 = 10²).

The spelling of 212621200 in words is "two hundred twelve million, six hundred twenty-one thousand, two hundred".