120200312302002 has 24 divisors (see below), whose sum is σ = 261180239256300. Its totient is φ = 39951966264480.

The previous prime is 120200312301977. The next prime is 120200312302009. The reversal of 120200312302002 is 200203213002021.

120200312302002 is a `hidden beast` number, since 1 + 2 + 0 + 200 + 31 + 230 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117303001083801 + 2897311218201 = 10830651^2 + 1702149^2 .

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 (120200312302009) 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 11 ways as a sum of consecutive naturals, for example, 9567035449 + ... + 9567048012.

Almost surely, 2^{120200312302002} is an apocalyptic number.

120200312302002 is an abundant number, since it is smaller than the sum of its proper divisors (140979926954298).

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

120200312302002 is a wasteful number, since it uses less digits than its factorization.

120200312302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134083818 (or 19134083815 counting only the distinct ones).

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

Adding to 120200312302002 its reverse (200203213002021), we get a palindrome (320403525304023).

The spelling of 120200312302002 in words is "one hundred twenty trillion, two hundred billion, three hundred twelve million, three hundred two thousand, two".