212520221200 has 480 divisors, whose sum is σ = 630268390400. Its totient is φ = 67251824640.

The previous prime is 212520221171. The next prime is 212520221201. The reversal of 212520221200 is 2122025212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212520221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388519327 + ... + 388519873.

Almost surely, 2^212520221200 is an apocalyptic number.

212520221200 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 212520221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315134195200).

212520221200 is an abundant number, since it is smaller than the sum of its proper divisors (417748169200).

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

212520221200 is a wasteful number, since it uses less digits than its factorization.

212520221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 212520221200 its reverse (2122025212), we get a palindrome (214642246412).

The spelling of 212520221200 in words is "two hundred twelve billion, five hundred twenty million, two hundred twenty-one thousand, two hundred".