120012310033 has 144 divisors (see below), whose sum is σ = 168567113232. Its totient is φ = 84777369600.

The previous prime is 120012310027. The next prime is 120012310043. The reversal of 120012310033 is 330013210021.

It can be written as a sum of positive squares in 8 ways, for example, as 2022121024 + 117990189009 = 44968^2 + 343497^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120012310033 is a prime.

It is a super-2 number, since 2×120012310033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120012309989 and 120012310016.

It is not an unprimeable number, because it can be changed into a prime (120012310043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 466973841 + ... + 466974097.

It is an arithmetic number, because the mean of its divisors is an integer number (1170604953).

Almost surely, 2^120012310033 is an apocalyptic number.

It is an amenable number.

120012310033 is a deficient number, since it is larger than the sum of its proper divisors (48554803199).

120012310033 is a wasteful number, since it uses less digits than its factorization.

120012310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120012310033 its reverse (330013210021), we get a palindrome (450025520054).

The spelling of 120012310033 in words is "one hundred twenty billion, twelve million, three hundred ten thousand, thirty-three".