120010010176 has 112 divisors (see below), whose sum is σ = 277441964800. Its totient is φ = 50440734720.

The previous prime is 120010010173. The next prime is 120010010201. The reversal of 120010010176 is 671010010021.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (120010010173) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9531181 + ... + 9543763.

It is an arithmetic number, because the mean of its divisors is an integer number (2477160400).

Almost surely, 2^120010010176 is an apocalyptic number.

120010010176 is a gapful number since it is divisible by the number (16) 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 120010010176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138720982400).

120010010176 is an abundant number, since it is smaller than the sum of its proper divisors (157431954624).

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

120010010176 is a wasteful number, since it uses less digits than its factorization.

120010010176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 120010010176 its reverse (671010010021), we get a palindrome (791020020197).

The spelling of 120010010176 in words is "one hundred twenty billion, ten million, ten thousand, one hundred seventy-six".