2117105605212 has 96 divisors (see below), whose sum is σ = 5633857555200. Its totient is φ = 612987927552.

The previous prime is 2117105605189. The next prime is 2117105605249. The reversal of 2117105605212 is 2125065017112.

It is a super-2 number, since 2×2117105605212² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15256839 + ... + 15394977.

It is an arithmetic number, because the mean of its divisors is an integer number (58686016200).

Almost surely, 2^{2117105605212} 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 2117105605212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816928777600).

2117105605212 is an abundant number, since it is smaller than the sum of its proper divisors (3516751949988).

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

2117105605212 is a wasteful number, since it uses less digits than its factorization.

2117105605212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143955 (or 143953 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 2117105605212 in words is "two trillion, one hundred seventeen billion, one hundred five million, six hundred five thousand, two hundred twelve".