212041886304 has 384 divisors, whose sum is σ = 610000699392. Its totient is φ = 64313948160.

The previous prime is 212041886299. The next prime is 212041886323. The reversal of 212041886304 is 403688140212.

212041886304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1110166849 + ... + 1110167039.

It is an arithmetic number, because the mean of its divisors is an integer number (1588543488).

Almost surely, 2^212041886304 is an apocalyptic number.

212041886304 is a gapful number since it is divisible by the number (24) 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 212041886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305000349696).

212041886304 is an abundant number, since it is smaller than the sum of its proper divisors (397958813088).

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

212041886304 is a wasteful number, since it uses less digits than its factorization.

212041886304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 212041886304 in words is "two hundred twelve billion, forty-one million, eight hundred eighty-six thousand, three hundred four".