120563712 has 144 divisors (see below), whose sum is σ = 361146240. Its totient is φ = 38707200.

The previous prime is 120563693. The next prime is 120563713. The reversal of 120563712 is 217365021.

It is a happy number.

120563712 is a `hidden beast` number, since 1 + 20 + 5 + 637 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120563713) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 571287 + ... + 571497.

It is an arithmetic number, because the mean of its divisors is an integer number (2507960).

Almost surely, 2^120563712 is an apocalyptic number.

120563712 is a gapful number since it is divisible by the number (12) 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 120563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180573120).

120563712 is an abundant number, since it is smaller than the sum of its proper divisors (240582528).

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

120563712 is a wasteful number, since it uses less digits than its factorization.

120563712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 120563712 is about 10980.1508186363. The cubic root of 120563712 is about 494.0135604685.

The spelling of 120563712 in words is "one hundred twenty million, five hundred sixty-three thousand, seven hundred twelve".