120020133200202 has 32 divisors (see below), whose sum is σ = 282400313414400. Its totient is φ = 37653375121344.

The previous prime is 120020133200189. The next prime is 120020133200203. The reversal of 120020133200202 is 202002331020021.

120020133200202 is a `hidden beast` number, since 120 + 0 + 20 + 1 + 3 + 320 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120020133200203) 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 15 ways as a sum of consecutive naturals, for example, 65370442002 + ... + 65370443837.

It is an arithmetic number, because the mean of its divisors is an integer number (8825009794200).

Almost surely, 2^{120020133200202} is an apocalyptic number.

120020133200202 is an abundant number, since it is smaller than the sum of its proper divisors (162380180214198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120020133200202 is a wasteful number, since it uses less digits than its factorization.

120020133200202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130740885867 (or 130740885861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120020133200202 its reverse (202002331020021), we get a palindrome (322022464220223).

The spelling of 120020133200202 in words is "one hundred twenty trillion, twenty billion, one hundred thirty-three million, two hundred thousand, two hundred two".