120540485520 has 960 divisors, whose sum is σ = 538837178880. Its totient is φ = 23434002432.

The previous prime is 120540485497. The next prime is 120540485521. The reversal of 120540485520 is 25584045021.

120540485520 is a `hidden beast` number, since 1 + 2 + 0 + 54 + 0 + 4 + 85 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120540485521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46059252 + ... + 46061868.

It is an arithmetic number, because the mean of its divisors is an integer number (561288728).

Almost surely, 2^120540485520 is an apocalyptic number.

120540485520 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 120540485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269418589440).

120540485520 is an abundant number, since it is smaller than the sum of its proper divisors (418296693360).

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

120540485520 is a wasteful number, since it uses less digits than its factorization.

120540485520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 120540485520 in words is "one hundred twenty billion, five hundred forty million, four hundred eighty-five thousand, five hundred twenty".