212000322300 has 288 divisors, whose sum is σ = 696163776000. Its totient is φ = 49379466240.

The previous prime is 212000322269. The next prime is 212000322307. The reversal of 212000322300 is 3223000212.

212000322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212000322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000322307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114779977 + ... + 114781823.

Almost surely, 2^212000322300 is an apocalyptic number.

212000322300 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 212000322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348081888000).

212000322300 is an abundant number, since it is smaller than the sum of its proper divisors (484163453700).

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

212000322300 is a wasteful number, since it uses less digits than its factorization.

212000322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212000322300 its reverse (3223000212), we get a palindrome (215223322512).

The spelling of 212000322300 in words is "two hundred twelve billion, three hundred twenty-two thousand, three hundred".