120014144 has 56 divisors (see below), whose sum is σ = 247838976. Its totient is φ = 57600000.

The previous prime is 120014137. The next prime is 120014179. The reversal of 120014144 is 441410021.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 478019 + ... + 478269.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2^120014144 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 120014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

120014144 is an abundant number, since it is smaller than the sum of its proper divisors (127824832).

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

120014144 is a wasteful number, since it uses less digits than its factorization.

120014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 120014144 is about 10955.0967134024. The cubic root of 120014144 is about 493.2617930512.

Adding to 120014144 its reverse (441410021), we get a palindrome (561424165).

The spelling of 120014144 in words is "one hundred twenty million, fourteen thousand, one hundred forty-four".