1288120320 has 240 divisors, whose sum is σ = 4619995380. Its totient is φ = 343277568.

The previous prime is 1288120319. The next prime is 1288120373. The reversal of 1288120320 is 230218821.

It can be written as a sum of positive squares in 2 ways, for example, as 1174569984 + 113550336 = 34272^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828664 + ... + 830216.

Almost surely, 2^1288120320 is an apocalyptic number.

1288120320 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 1288120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309997690).

1288120320 is an abundant number, since it is smaller than the sum of its proper divisors (3331875060).

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

1288120320 is an equidigital number, since it uses as much as digits as its factorization.

1288120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1288120320 is about 35890.3931435698. The cubic root of 1288120320 is about 1088.0582437101.

The spelling of 1288120320 in words is "one billion, two hundred eighty-eight million, one hundred twenty thousand, three hundred twenty".