120534877532160 has 3744 divisors, whose sum is σ = 545097101447808. Its totient is φ = 24471373086720.

The previous prime is 120534877532141. The next prime is 120534877532183. The reversal of 120534877532160 is 61235778435021.

120534877532160 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 48 + 7 + 7 + 532 + 1 + 60 = 666.

120534877532160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a junction number, because it is equal to n+sod(n) for n = 120534877532097 and 120534877532106.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1651162705884 + ... + 1651162705956.

It is an arithmetic number, because the mean of its divisors is an integer number (145592174532).

Almost surely, 2^{120534877532160} is an apocalyptic number.

120534877532160 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 120534877532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272548550723904).

120534877532160 is an abundant number, since it is smaller than the sum of its proper divisors (424562223915648).

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

120534877532160 is an frugal number, since it uses more digits than its factorization.

120534877532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 120534877532160 in words is "one hundred twenty trillion, five hundred thirty-four billion, eight hundred seventy-seven million, five hundred thirty-two thousand, one hundred sixty".