120051444 has 72 divisors (see below), whose sum is σ = 302363712. Its totient is φ = 36981120.

The previous prime is 120051431. The next prime is 120051487. The reversal of 120051444 is 444150021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120051444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165497 + ... + 1165599.

It is an arithmetic number, because the mean of its divisors is an integer number (4199496).

Almost surely, 2^120051444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120051444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151181856).

120051444 is an abundant number, since it is smaller than the sum of its proper divisors (182312268).

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

120051444 is a wasteful number, since it uses less digits than its factorization.

120051444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 120051444 is about 10956.7989851051. The cubic root of 120051444 is about 493.3128891374.

The spelling of 120051444 in words is "one hundred twenty million, fifty-one thousand, four hundred forty-four".