120917280 has 96 divisors (see below), whose sum is σ = 415533888. Its totient is φ = 29312000.

The previous prime is 120917261. The next prime is 120917281. The reversal of 120917280 is 82719021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120917281) 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 15 ways as a sum of consecutive naturals, for example, 6171 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (4328478).

Almost surely, 2^120917280 is an apocalyptic number.

120917280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120917280 is an abundant number, since it is smaller than the sum of its proper divisors (294616608).

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

120917280 is a wasteful number, since it uses less digits than its factorization.

120917280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22922 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 120917280 is about 10996.2393571621. The cubic root of 120917280 is about 494.4960077896.

The spelling of 120917280 in words is "one hundred twenty million, nine hundred seventeen thousand, two hundred eighty".