120303203212033 has 8 divisors (see below), whose sum is σ = 121407138133160. Its totient is φ = 119199272578560.

The previous prime is 120303203211977. The next prime is 120303203212099. The reversal of 120303203212033 is 330212302303021.

It can be written as a sum of positive squares in 4 ways, for example, as 38318291291329 + 81984911920704 = 6190177^2 + 9054552^2 .

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 120303203212033 - 2¹⁷ = 120303203080961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120303203211989 and 120303203212007.

It is not an unprimeable number, because it can be changed into a prime (120303203212133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93021163 + ... + 94305583.

It is an arithmetic number, because the mean of its divisors is an integer number (15175892266645).

Almost surely, 2^{120303203212033} is an apocalyptic number.

It is an amenable number.

120303203212033 is a deficient number, since it is larger than the sum of its proper divisors (1103934921127).

120303203212033 is a wasteful number, since it uses less digits than its factorization.

120303203212033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143827.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 120303203212033 its reverse (330212302303021), we get a palindrome (450515505515054).

The spelling of 120303203212033 in words is "one hundred twenty trillion, three hundred three billion, two hundred three million, two hundred twelve thousand, thirty-three".