212023333200 has 720 divisors, whose sum is σ = 837220432320. Its totient is φ = 45604823040.

The previous prime is 212023333177. The next prime is 212023333229. The reversal of 212023333200 is 2333320212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 193275052 + ... + 193276148.

It is an arithmetic number, because the mean of its divisors is an integer number (1162806156).

Almost surely, 2^212023333200 is an apocalyptic number.

212023333200 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 212023333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418610216160).

212023333200 is an abundant number, since it is smaller than the sum of its proper divisors (625197099120).

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

212023333200 is a wasteful number, since it uses less digits than its factorization.

212023333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 212023333200 its reverse (2333320212), we get a palindrome (214356653412).

The spelling of 212023333200 in words is "two hundred twelve billion, twenty-three million, three hundred thirty-three thousand, two hundred".