212105116064 has 96 divisors (see below), whose sum is σ = 441192407040. Its totient is φ = 100177938432.

The previous prime is 212105116043. The next prime is 212105116099. The reversal of 212105116064 is 460611501212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25105889 + ... + 25114335.

It is an arithmetic number, because the mean of its divisors is an integer number (4595754240).

Almost surely, 2^212105116064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212105116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220596203520).

212105116064 is an abundant number, since it is smaller than the sum of its proper divisors (229087290976).

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

212105116064 is a wasteful number, since it uses less digits than its factorization.

212105116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 212105116064 its reverse (460611501212), we get a palindrome (672716617276).

The spelling of 212105116064 in words is "two hundred twelve billion, one hundred five million, one hundred sixteen thousand, sixty-four".