217120000 has 180 divisors, whose sum is σ = 574691040. Its totient is φ = 81664000.

The previous prime is 217119997. The next prime is 217120021. The reversal of 217120000 is 21712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3679971 + ... + 3680029.

It is an arithmetic number, because the mean of its divisors is an integer number (3192728).

Almost surely, 2^217120000 is an apocalyptic number.

217120000 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 217120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287345520).

217120000 is an abundant number, since it is smaller than the sum of its proper divisors (357571040).

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

217120000 is an frugal number, since it uses more digits than its factorization.

217120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 217120000 is about 14734.9923651151. The cubic root of 217120000 is about 601.0352497729.

Adding to 217120000 its reverse (21712), we get a palindrome (217141712).

Multiplying 217120000 by its reverse (21712), we get a square (4714109440000 = 2171200²).

217120000 divided by its reverse (21712) gives a 4-th power (10000 = 10⁴).

The spelling of 217120000 in words is "two hundred seventeen million, one hundred twenty thousand".