120707280 has 320 divisors, whose sum is σ = 449971200. Its totient is φ = 29675520.

The previous prime is 120707263. The next prime is 120707287. The reversal of 120707280 is 82707021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120707287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2568217 + ... + 2568263.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^120707280 is an apocalyptic number.

120707280 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 120707280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

120707280 is an abundant number, since it is smaller than the sum of its proper divisors (329263920).

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

120707280 is a wasteful number, since it uses less digits than its factorization.

120707280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 120707280 is about 10986.6864886553. The cubic root of 120707280 is about 494.2095741331.

The spelling of 120707280 in words is "one hundred twenty million, seven hundred seven thousand, two hundred eighty".