212410000214304 has 192 divisors, whose sum is σ = 596704344219648. Its totient is φ = 66042748569600.

The previous prime is 212410000214227. The next prime is 212410000214351. The reversal of 212410000214304 is 403412000014212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 359644 + ... + 20614299.

It is an arithmetic number, because the mean of its divisors is an integer number (3107835126144).

Almost surely, 2^{212410000214304} is an apocalyptic number.

212410000214304 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 212410000214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298352172109824).

212410000214304 is an abundant number, since it is smaller than the sum of its proper divisors (384294344005344).

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

212410000214304 is a wasteful number, since it uses less digits than its factorization.

212410000214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20974111 (or 20974103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212410000214304 its reverse (403412000014212), we get a palindrome (615822000228516).

The spelling of 212410000214304 in words is "two hundred twelve trillion, four hundred ten billion, two hundred fourteen thousand, three hundred four".