217126120 has 16 divisors (see below), whose sum is σ = 488533860. Its totient is φ = 86850432.

The previous prime is 217126099. The next prime is 217126123. The reversal of 217126120 is 21621712.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 196168036 + 20958084 = 14006^2 + 4578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 217126091 and 217126100.

It is not an unprimeable number, because it can be changed into a prime (217126123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2714037 + ... + 2714116.

Almost surely, 2^217126120 is an apocalyptic number.

217126120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217126120 is an abundant number, since it is smaller than the sum of its proper divisors (271407740).

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

217126120 is a wasteful number, since it uses less digits than its factorization.

217126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428164 (or 5428160 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 217126120 is about 14735.2000325751. The cubic root of 217126120 is about 601.0408968823.

Adding to 217126120 its reverse (21621712), we get a palindrome (238747832).

The spelling of 217126120 in words is "two hundred seventeen million, one hundred twenty-six thousand, one hundred twenty".