120312011332033 has 8 divisors (see below), whose sum is σ = 122582278017000. Its totient is φ = 118041753118848.

The previous prime is 120312011332031. The next prime is 120312011332129. The reversal of 120312011332033 is 330233110213021.

It can be written as a sum of positive squares in 4 ways, for example, as 41973722136369 + 78338289195664 = 6478713^2 + 8850892^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120312011332033 - 2¹ = 120312011332031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120312011331989 and 120312011332007.

It is not an unprimeable number, because it can be changed into a prime (120312011332031) 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 7 ways as a sum of consecutive naturals, for example, 31557603 + ... + 35163991.

It is an arithmetic number, because the mean of its divisors is an integer number (15322784752125).

Almost surely, 2^{120312011332033} is an apocalyptic number.

It is an amenable number.

120312011332033 is a deficient number, since it is larger than the sum of its proper divisors (2270266684967).

120312011332033 is an equidigital number, since it uses as much as digits as its factorization.

120312011332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235891.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 120312011332033 its reverse (330233110213021), we get a palindrome (450545121545054).

The spelling of 120312011332033 in words is "one hundred twenty trillion, three hundred twelve billion, eleven million, three hundred thirty-two thousand, thirty-three".