120165444 has 189 divisors, whose sum is σ = 379849197. Its totient is φ = 33149088.

The previous prime is 120165439. The next prime is 120165449. The reversal of 120165444 is 444561021.

The square root of 120165444 is 10962.

It is a perfect power (a square), and thus also a powerful number.

120165444 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 654 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (120165439) and next prime (120165449).

It can be written as a sum of positive squares in only one way, i.e., 63011844 + 57153600 = 7938^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120165449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4143622 + ... + 4143650.

Almost surely, 2^120165444 is an apocalyptic number.

120165444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120165444 is the 10962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120165444

120165444 is an abundant number, since it is smaller than the sum of its proper divisors (259683753).

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

120165444 is an equidigital number, since it uses as much as digits as its factorization.

120165444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 120165444 is about 493.4689885447.

The spelling of 120165444 in words is "one hundred twenty million, one hundred sixty-five thousand, four hundred forty-four".