120705280 has 72 divisors (see below), whose sum is σ = 291282264. Its totient is φ = 47923200.

The previous prime is 120705269. The next prime is 120705317. The reversal of 120705280 is 82507021.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 118722816 = 1408^2 + 10896^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231420 + ... + 231940.

It is an arithmetic number, because the mean of its divisors is an integer number (4045587).

Almost surely, 2^120705280 is an apocalyptic number.

120705280 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 120705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145641132).

120705280 is an abundant number, since it is smaller than the sum of its proper divisors (170576984).

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

120705280 is an equidigital number, since it uses as much as digits as its factorization.

120705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 120705280 is about 10986.5954690250. The cubic root of 120705280 is about 494.2068445970.

The spelling of 120705280 in words is "one hundred twenty million, seven hundred five thousand, two hundred eighty".