1120319009280 has 800 divisors, whose sum is σ = 4161960760320. Its totient is φ = 287729418240.

The previous prime is 1120319009261. The next prime is 1120319009321. The reversal of 1120319009280 is 829009130211.

It is a super-2 number, since 2×1120319009280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2551979301 + ... + 2551979739.

Almost surely, 2^{1120319009280} is an apocalyptic number.

1120319009280 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 1120319009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080980380160).

1120319009280 is an abundant number, since it is smaller than the sum of its proper divisors (3041641751040).

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

1120319009280 is an equidigital number, since it uses as much as digits as its factorization.

1120319009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1120319009280 in words is "one trillion, one hundred twenty billion, three hundred nineteen million, nine thousand, two hundred eighty".