120181760 has 44 divisors (see below), whose sum is σ = 288307668. Its totient is φ = 48070656.

The previous prime is 120181753. The next prime is 120181769. The reversal of 120181760 is 67181021.

It can be written as a sum of positive squares in 2 ways, for example, as 90935296 + 29246464 = 9536^2 + 5408^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120181769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6617 + ... + 16856.

It is an arithmetic number, because the mean of its divisors is an integer number (6552447).

Almost surely, 2^120181760 is an apocalyptic number.

120181760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120181760 is an abundant number, since it is smaller than the sum of its proper divisors (168125908).

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

120181760 is an equidigital number, since it uses as much as digits as its factorization.

120181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23498 (or 23480 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 120181760 is about 10962.7441820011. The cubic root of 120181760 is about 493.4913218528.

The spelling of 120181760 in words is "one hundred twenty million, one hundred eighty-one thousand, seven hundred sixty".