120441000 has 128 divisors (see below), whose sum is σ = 395740800. Its totient is φ = 30412800.

The previous prime is 120440989. The next prime is 120441011. The reversal of 120441000 is 144021.

It is an interprime number because it is at equal distance from previous prime (120440989) and next prime (120441011).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 55944 + ... + 58056.

It is an arithmetic number, because the mean of its divisors is an integer number (3091725).

Almost surely, 2^120441000 is an apocalyptic number.

120441000 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 120441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197870400).

120441000 is an abundant number, since it is smaller than the sum of its proper divisors (275299800).

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

120441000 is a wasteful number, since it uses less digits than its factorization.

120441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120441000 is about 10974.5614946566. The cubic root of 120441000 is about 493.8458981599.

Adding to 120441000 its reverse (144021), we get a palindrome (120585021).

The spelling of 120441000 in words is "one hundred twenty million, four hundred forty-one thousand".