120540008160 has 1152 divisors, whose sum is σ = 521167675392. Its totient is φ = 24938496000.

The previous prime is 120540008153. The next prime is 120540008167. The reversal of 120540008160 is 61800045021.

120540008160 is a `hidden beast` number, since 120 + 5 + 400 + 0 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (120540008153) and next prime (120540008167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120540008167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146820550 + ... + 146821370.

It is an arithmetic number, because the mean of its divisors is an integer number (452402496).

Almost surely, 2^120540008160 is an apocalyptic number.

120540008160 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 120540008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260583837696).

120540008160 is an abundant number, since it is smaller than the sum of its proper divisors (400627667232).

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

120540008160 is a wasteful number, since it uses less digits than its factorization.

120540008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 120540008160 in words is "one hundred twenty billion, five hundred forty million, eight thousand, one hundred sixty".