217130031712 has 144 divisors (see below), whose sum is σ = 482831496000. Its totient is φ = 95987865600.

The previous prime is 217130031707. The next prime is 217130031743.

217130031712 is nontrivially palindromic in base 10.

217130031712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 55402489 + ... + 55406407.

It is an arithmetic number, because the mean of its divisors is an integer number (3352996500).

Almost surely, 2^217130031712 is an apocalyptic number.

217130031712 is a gapful number since it is divisible by the number (22) 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 217130031712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241415748000).

217130031712 is an abundant number, since it is smaller than the sum of its proper divisors (265701464288).

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

217130031712 is a wasteful number, since it uses less digits than its factorization.

217130031712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 217130031712 in words is "two hundred seventeen billion, one hundred thirty million, thirty-one thousand, seven hundred twelve".