10120312985 has 16 divisors (see below), whose sum is σ = 12195744912. Its totient is φ = 8062080000.

The previous prime is 10120312967. The next prime is 10120312991. The reversal of 10120312985 is 58921302101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 495329536 + 9624983449 = 22256^2 + 98107^2 .

It is not a de Polignac number, because 10120312985 - 2¹⁸ = 10120050841 is a prime.

It is a super-2 number, since 2×10120312985² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 1186235 + ... + 1194735.

It is an arithmetic number, because the mean of its divisors is an integer number (762234057).

Almost surely, 2^10120312985 is an apocalyptic number.

It is an amenable number.

10120312985 is a deficient number, since it is larger than the sum of its proper divisors (2075431927).

10120312985 is an equidigital number, since it uses as much as digits as its factorization.

10120312985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484.

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

The spelling of 10120312985 in words is "ten billion, one hundred twenty million, three hundred twelve thousand, nine hundred eighty-five".