120002020033 has 12 divisors (see below), whose sum is σ = 139604128452. Its totient is φ = 102851548800.

The previous prime is 120002020007. The next prime is 120002020049. The reversal of 120002020033 is 330020200021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105385935424 + 14616084609 = 324632^2 + 120897^2 .

It is not a de Polignac number, because 120002020033 - 2¹⁷ = 120001888961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120002019995 and 120002020022.

It is not an unprimeable number, because it can be changed into a prime (120002020063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675141 + ... + 834157.

It is an arithmetic number, because the mean of its divisors is an integer number (11633677371).

Almost surely, 2^120002020033 is an apocalyptic number.

It is an amenable number.

120002020033 is a deficient number, since it is larger than the sum of its proper divisors (19602108419).

120002020033 is a wasteful number, since it uses less digits than its factorization.

120002020033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174432 (or 174425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 120002020033 its reverse (330020200021), we get a palindrome (450022220054).

The spelling of 120002020033 in words is "one hundred twenty billion, two million, twenty thousand, thirty-three".