120725550116730 has 320 divisors, whose sum is σ = 351532372736160. Its totient is φ = 29552100009984.

The previous prime is 120725550116711. The next prime is 120725550116747. The reversal of 120725550116730 is 37611055527021.

120725550116730 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 5 + 550 + 1 + 1 + 67 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1109396651841 + 119616153464889 = 1053279^2 + 10936917^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2056869264 + ... + 2056927956.

Almost surely, 2^{120725550116730} is an apocalyptic number.

120725550116730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120725550116730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175766186368080).

120725550116730 is an abundant number, since it is smaller than the sum of its proper divisors (230806822619430).

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

120725550116730 is a wasteful number, since it uses less digits than its factorization.

120725550116730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59807 (or 59798 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 120725550116730 in words is "one hundred twenty trillion, seven hundred twenty-five billion, five hundred fifty million, one hundred sixteen thousand, seven hundred thirty".