120342688560 has 480 divisors, whose sum is σ = 440069423040. Its totient is φ = 29358489600.

The previous prime is 120342688559. The next prime is 120342688579. The reversal of 120342688560 is 65886243021.

120342688560 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 2 + 6 + 88 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66450055 + ... + 66451865.

It is an arithmetic number, because the mean of its divisors is an integer number (916811298).

Almost surely, 2^120342688560 is an apocalyptic number.

120342688560 is a gapful number since it is divisible by the number (10) 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 120342688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220034711520).

120342688560 is an abundant number, since it is smaller than the sum of its proper divisors (319726734480).

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

120342688560 is a wasteful number, since it uses less digits than its factorization.

120342688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 120342688560 in words is "one hundred twenty billion, three hundred forty-two million, six hundred eighty-eight thousand, five hundred sixty".