120720681543168 has 480 divisors, whose sum is σ = 409506723225600. Its totient is φ = 34219978813440.

The previous prime is 120720681543167. The next prime is 120720681543227. The reversal of 120720681543168 is 861345186027021.

It is a happy number.

120720681543168 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 0 + 6 + 81 + 543 + 16 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120720681543167) 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 47 ways as a sum of consecutive naturals, for example, 200428383 + ... + 201029793.

It is an arithmetic number, because the mean of its divisors is an integer number (853139006720).

Almost surely, 2^{120720681543168} is an apocalyptic number.

120720681543168 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 120720681543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204753361612800).

120720681543168 is an abundant number, since it is smaller than the sum of its proper divisors (288786041682432).

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

120720681543168 is an equidigital number, since it uses as much as digits as its factorization.

120720681543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601583 (or 601550 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 120720681543168 in words is "one hundred twenty trillion, seven hundred twenty billion, six hundred eighty-one million, five hundred forty-three thousand, one hundred sixty-eight".