120241680 has 160 divisors (see below), whose sum is σ = 425222784. Its totient is φ = 27844608.

The previous prime is 120241679. The next prime is 120241703. The reversal of 120241680 is 86142021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120241680.

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 31 ways as a sum of consecutive naturals, for example, 51907 + ... + 54173.

Almost surely, 2^120241680 is an apocalyptic number.

120241680 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 120241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212611392).

120241680 is an abundant number, since it is smaller than the sum of its proper divisors (304981104).

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

120241680 is a wasteful number, since it uses less digits than its factorization.

120241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120241680 is about 10965.4767338224. The cubic root of 120241680 is about 493.5733228903.

The spelling of 120241680 in words is "one hundred twenty million, two hundred forty-one thousand, six hundred eighty".