120217761 has 12 divisors (see below), whose sum is σ = 183862692. Its totient is φ = 75430656.

The previous prime is 120217759. The next prime is 120217831. The reversal of 120217761 is 167712021.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 52056225 = 8256^2 + 7215^2 .

It is not a de Polignac number, because 120217761 - 2¹ = 120217759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120217261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392716 + ... + 393021.

It is an arithmetic number, because the mean of its divisors is an integer number (15321891).

Almost surely, 2^120217761 is an apocalyptic number.

It is an amenable number.

120217761 is a deficient number, since it is larger than the sum of its proper divisors (63644931).

120217761 is a wasteful number, since it uses less digits than its factorization.

120217761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785760 (or 785757 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 120217761 is about 10964.3860293224. The cubic root of 120217761 is about 493.5405927998.

Adding to 120217761 its reverse (167712021), we get a palindrome (287929782).

The spelling of 120217761 in words is "one hundred twenty million, two hundred seventeen thousand, seven hundred sixty-one".