212105116340 has 144 divisors (see below), whose sum is σ = 503932036608. Its totient is φ = 74815183872.

The previous prime is 212105116303. The next prime is 212105116343. The reversal of 212105116340 is 43611501212.

212105116340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212105116343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92742677 + ... + 92744963.

It is an arithmetic number, because the mean of its divisors is an integer number (3499528032).

Almost surely, 2^212105116340 is an apocalyptic number.

212105116340 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 212105116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251966018304).

212105116340 is an abundant number, since it is smaller than the sum of its proper divisors (291826920268).

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

212105116340 is a wasteful number, since it uses less digits than its factorization.

212105116340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 212105116340 its reverse (43611501212), we get a palindrome (255716617552).

The spelling of 212105116340 in words is "two hundred twelve billion, one hundred five million, one hundred sixteen thousand, three hundred forty".