120012311631168 has 1680 divisors, whose sum is σ = 427807248422400. Its totient is φ = 33113517465600.

The previous prime is 120012311631161. The next prime is 120012311631193. The reversal of 120012311631168 is 861136113210021.

120012311631168 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 2 + 3 + 1 + 1 + 631 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012311631161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 58004982838 + ... + 58004984906.

It is an arithmetic number, because the mean of its divisors is an integer number (254647171680).

Almost surely, 2^{120012311631168} is an apocalyptic number.

120012311631168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012311631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213903624211200).

120012311631168 is an abundant number, since it is smaller than the sum of its proper divisors (307794936791232).

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

120012311631168 is a wasteful number, since it uses less digits than its factorization.

120012311631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 120012311631168 its reverse (861136113210021), we get a palindrome (981148424841189).

The spelling of 120012311631168 in words is "one hundred twenty trillion, twelve billion, three hundred eleven million, six hundred thirty-one thousand, one hundred sixty-eight".