212300330011000 has 1024 divisors, whose sum is σ = 638956383436800. Its totient is φ = 64106348544000.

The previous prime is 212300330010997. The next prime is 212300330011067. The reversal of 212300330011000 is 110033003212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 295271668641 + ... + 295271669359.

It is an arithmetic number, because the mean of its divisors is an integer number (623980843200).

Almost surely, 2^{212300330011000} is an apocalyptic number.

212300330011000 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 212300330011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319478191718400).

212300330011000 is an abundant number, since it is smaller than the sum of its proper divisors (426656053425800).

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

212300330011000 is a wasteful number, since it uses less digits than its factorization.

212300330011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 212300330011000 its reverse (110033003212), we get a palindrome (212410363014212).

The spelling of 212300330011000 in words is "two hundred twelve trillion, three hundred billion, three hundred thirty million, eleven thousand".