120000960 has 448 divisors, whose sum is σ = 482803200. Its totient is φ = 27869184.

The previous prime is 120000929. The next prime is 120000971. The reversal of 120000960 is 69000021.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790699 + ... + 2790741.

Almost surely, 2^120000960 is an apocalyptic number.

120000960 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 120000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

120000960 is an abundant number, since it is smaller than the sum of its proper divisors (362802240).

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

120000960 is a wasteful number, since it uses less digits than its factorization.

120000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120000960 is about 10954.4949678203. The cubic root of 120000960 is about 493.2437301757.

Adding to 120000960 its reverse (69000021), we get a palindrome (189000981).

The spelling of 120000960 in words is "one hundred twenty million, nine hundred sixty", and thus it is an aban number.