212410304113000 has 256 divisors, whose sum is σ = 577541056435200. Its totient is φ = 71609811840000.

The previous prime is 212410304112973. The next prime is 212410304113009. The reversal of 212410304113000 is 311403014212.

It is not an unprimeable number, because it can be changed into a prime (212410304113009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375289781 + ... + 1375444219.

It is an arithmetic number, because the mean of its divisors is an integer number (2256019751700).

Almost surely, 2^{212410304113000} is an apocalyptic number.

212410304113000 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 212410304113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288770528217600).

212410304113000 is an abundant number, since it is smaller than the sum of its proper divisors (365130752322200).

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

212410304113000 is a wasteful number, since it uses less digits than its factorization.

212410304113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157749 (or 157735 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212410304113000 its reverse (311403014212), we get a palindrome (212721707127212).

The spelling of 212410304113000 in words is "two hundred twelve trillion, four hundred ten billion, three hundred four million, one hundred thirteen thousand".