120040413202033 has 16 divisors (see below), whose sum is σ = 120899747818512. Its totient is φ = 119183058720000.

The previous prime is 120040413201967. The next prime is 120040413202051. The reversal of 120040413202033 is 330202314040021.

It can be written as a sum of positive squares in 8 ways, for example, as 3387193627489 + 116653219574544 = 1840433^2 + 10800612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120040413202033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120040413201989 and 120040413202007.

It is not an unprimeable number, because it can be changed into a prime (120040413212033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537268003 + ... + 537491383.

It is an arithmetic number, because the mean of its divisors is an integer number (7556234238657).

Almost surely, 2^{120040413202033} is an apocalyptic number.

It is an amenable number.

120040413202033 is a deficient number, since it is larger than the sum of its proper divisors (859334616479).

120040413202033 is a wasteful number, since it uses less digits than its factorization.

120040413202033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227796.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 120040413202033 its reverse (330202314040021), we get a palindrome (450242727242054).

The spelling of 120040413202033 in words is "one hundred twenty trillion, forty billion, four hundred thirteen million, two hundred two thousand, thirty-three".