120166116521 has 6 divisors (see below), whose sum is σ = 132083417466. Its totient is φ = 109241924000.

The previous prime is 120166116491. The next prime is 120166116533. The reversal of 120166116521 is 125611661021.

It can be written as a sum of positive squares in only one way, i.e., 119483600896 + 682515625 = 345664^2 + 26125^2 .

It is not a de Polignac number, because 120166116521 - 2³⁰ = 119092374697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120166116821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496554080 + ... + 496554321.

It is an arithmetic number, because the mean of its divisors is an integer number (22013902911).

Almost surely, 2^120166116521 is an apocalyptic number.

120166116521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120166116521 is a deficient number, since it is larger than the sum of its proper divisors (11917300945).

120166116521 is an equidigital number, since it uses as much as digits as its factorization.

120166116521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993108423 (or 993108412 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 120166116521 its reverse (125611661021), we get a palindrome (245777777542).

The spelling of 120166116521 in words is "one hundred twenty billion, one hundred sixty-six million, one hundred sixteen thousand, five hundred twenty-one".