212020333200 has 360 divisors, whose sum is σ = 793349175528. Its totient is φ = 52124958720.

The previous prime is 212020333169. The next prime is 212020333223. The reversal of 212020333200 is 2333020212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 66731288976 + 145289044224 = 258324^2 + 381168^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 45721282 + ... + 45725918.

Almost surely, 2^212020333200 is an apocalyptic number.

212020333200 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 212020333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396674587764).

212020333200 is an abundant number, since it is smaller than the sum of its proper divisors (581328842328).

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

212020333200 is a wasteful number, since it uses less digits than its factorization.

212020333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212020333200 its reverse (2333020212), we get a palindrome (214353353412).

The spelling of 212020333200 in words is "two hundred twelve billion, twenty million, three hundred thirty-three thousand, two hundred".