120568154843136 has 3072 divisors, whose sum is σ = 465817385779200. Its totient is φ = 26720442777600.

The previous prime is 120568154843111. The next prime is 120568154843177. The reversal of 120568154843136 is 631348451865021.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 767950030770 + ... + 767950030926.

It is an arithmetic number, because the mean of its divisors is an integer number (151633263600).

Almost surely, 2^{120568154843136} is an apocalyptic number.

120568154843136 is a gapful number since it is divisible by the number (16) 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 120568154843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232908692889600).

120568154843136 is an abundant number, since it is smaller than the sum of its proper divisors (345249230936064).

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

120568154843136 is a wasteful number, since it uses less digits than its factorization.

120568154843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 120568154843136 in words is "one hundred twenty trillion, five hundred sixty-eight billion, one hundred fifty-four million, eight hundred forty-three thousand, one hundred thirty-six".