212300122311300 has 288 divisors, whose sum is σ = 671758428708864. Its totient is φ = 51534362880000.

The previous prime is 212300122311281. The next prime is 212300122311301. The reversal of 212300122311300 is 3113221003212.

It is not an unprimeable number, because it can be changed into a prime (212300122311301) 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, 272016625 + ... + 272795975.

It is an arithmetic number, because the mean of its divisors is an integer number (2332494544128).

Almost surely, 2^{212300122311300} is an apocalyptic number.

212300122311300 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 212300122311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335879214354432).

212300122311300 is an abundant number, since it is smaller than the sum of its proper divisors (459458306397564).

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

212300122311300 is a wasteful number, since it uses less digits than its factorization.

212300122311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781139 (or 781132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212300122311300 its reverse (3113221003212), we get a palindrome (215413343314512).

The spelling of 212300122311300 in words is "two hundred twelve trillion, three hundred billion, one hundred twenty-two million, three hundred eleven thousand, three hundred".