120025440 has 144 divisors (see below), whose sum is σ = 433768608. Its totient is φ = 30117888.

The previous prime is 120025391. The next prime is 120025463. The reversal of 120025440 is 44520021.

120025440 is a `hidden beast` number, since 1 + 200 + 25 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120025440² = 28812212494387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 22029 + ... + 26931.

It is an arithmetic number, because the mean of its divisors is an integer number (3012282).

Almost surely, 2^120025440 is an apocalyptic number.

120025440 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 120025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216884304).

120025440 is an abundant number, since it is smaller than the sum of its proper divisors (313743168).

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

120025440 is a wasteful number, since it uses less digits than its factorization.

120025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120025440 is about 10955.6122603896. The cubic root of 120025440 is about 493.2772682006.

Adding to 120025440 its reverse (44520021), we get a palindrome (164545461).

The spelling of 120025440 in words is "one hundred twenty million, twenty-five thousand, four hundred forty".