120005170671220 has 96 divisors (see below), whose sum is σ = 268123195146240. Its totient is φ = 45018946558080.

The previous prime is 120005170671209. The next prime is 120005170671227. The reversal of 120005170671220 is 22176071500021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120005170671227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4622155 + ... + 16167085.

It is an arithmetic number, because the mean of its divisors is an integer number (2792949949440).

Almost surely, 2^{120005170671220} is an apocalyptic number.

120005170671220 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 120005170671220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134061597573120).

120005170671220 is an abundant number, since it is smaller than the sum of its proper divisors (148118024475020).

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

120005170671220 is a wasteful number, since it uses less digits than its factorization.

120005170671220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545405 (or 11545403 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 120005170671220 in words is "one hundred twenty trillion, five billion, one hundred seventy million, six hundred seventy-one thousand, two hundred twenty".