120280896 has 112 divisors (see below), whose sum is σ = 361370880. Its totient is φ = 39214080.

The previous prime is 120280889. The next prime is 120280981. The reversal of 120280896 is 698082021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120280896.

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 15 ways as a sum of consecutive naturals, for example, 80476 + ... + 81956.

Almost surely, 2^120280896 is an apocalyptic number.

120280896 is a gapful number since it is divisible by the number (16) 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 120280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

120280896 is an abundant number, since it is smaller than the sum of its proper divisors (241089984).

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

120280896 is a wasteful number, since it uses less digits than its factorization.

120280896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120280896 is about 10967.2647455963. The cubic root of 120280896 is about 493.6269755770.

The spelling of 120280896 in words is "one hundred twenty million, two hundred eighty thousand, eight hundred ninety-six".