120257280 has 432 divisors, whose sum is σ = 495514656. Its totient is φ = 26542080.

The previous prime is 120257279. The next prime is 120257297. The reversal of 120257280 is 82752021.

120257280 is a `hidden beast` number, since 12 + 0 + 2 + 572 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1647324 + ... + 1647396.

Almost surely, 2^120257280 is an apocalyptic number.

120257280 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 120257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247757328).

120257280 is an abundant number, since it is smaller than the sum of its proper divisors (375257376).

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

120257280 is a wasteful number, since it uses less digits than its factorization.

120257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120257280 is about 10966.1880341347. The cubic root of 120257280 is about 493.5946671554.

The spelling of 120257280 in words is "one hundred twenty million, two hundred fifty-seven thousand, two hundred eighty".