212000242300 has 216 divisors, whose sum is σ = 579506659200. Its totient is φ = 65399520000.

The previous prime is 212000242273. The next prime is 212000242339. The reversal of 212000242300 is 3242000212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78546351 + ... + 78549049.

It is an arithmetic number, because the mean of its divisors is an integer number (2682901200).

Almost surely, 2^212000242300 is an apocalyptic number.

212000242300 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 212000242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289753329600).

212000242300 is an abundant number, since it is smaller than the sum of its proper divisors (367506416900).

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

212000242300 is a wasteful number, since it uses less digits than its factorization.

212000242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212000242300 its reverse (3242000212), we get a palindrome (215242242512).

The spelling of 212000242300 in words is "two hundred twelve billion, two hundred forty-two thousand, three hundred".