120648730176 has 392 divisors, whose sum is σ = 409340313144. Its totient is φ = 34936012800.

The previous prime is 120648730171. The next prime is 120648730199. The reversal of 120648730176 is 671037846021.

120648730176 is a `hidden beast` number, since 120 + 6 + 487 + 30 + 17 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27232920576 + 93415809600 = 165024^2 + 305640^2 .

It is a super-2 number, since 2×120648730176² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120648730171) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10305126 + ... + 10316826.

Almost surely, 2^120648730176 is an apocalyptic number.

120648730176 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 120648730176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204670156572).

120648730176 is an abundant number, since it is smaller than the sum of its proper divisors (288691582968).

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

120648730176 is a wasteful number, since it uses less digits than its factorization.

120648730176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11736 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 120648730176 in words is "one hundred twenty billion, six hundred forty-eight million, seven hundred thirty thousand, one hundred seventy-six".