120444000 has 96 divisors (see below), whose sum is σ = 394613856. Its totient is φ = 32115200.

The previous prime is 120443993. The next prime is 120444013. The reversal of 120444000 is 444021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6982 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (4110561).

Almost surely, 2^120444000 is an apocalyptic number.

120444000 is a gapful number since it is divisible by the number (10) 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 120444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197306928).

120444000 is an abundant number, since it is smaller than the sum of its proper divisors (274169856).

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

120444000 is a wasteful number, since it uses less digits than its factorization.

120444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120444000 is about 10974.6981735262. The cubic root of 120444000 is about 493.8499984397.

Adding to 120444000 its reverse (444021), we get a palindrome (120888021).

The spelling of 120444000 in words is "one hundred twenty million, four hundred forty-four thousand".