1001089120 has 48 divisors (see below), whose sum is σ = 2382140880. Its totient is φ = 397545984.

The previous prime is 1001089109. The next prime is 1001089121. The reversal of 1001089120 is 219801001.

1001089120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001089091 and 1001089100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001089121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 44746.

It is an arithmetic number, because the mean of its divisors is an integer number (49627935).

Almost surely, 2^1001089120 is an apocalyptic number.

1001089120 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 1001089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191070440).

1001089120 is an abundant number, since it is smaller than the sum of its proper divisors (1381051760).

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

1001089120 is a wasteful number, since it uses less digits than its factorization.

1001089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45167 (or 45159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 1001089120 is about 31639.9924146641. The cubic root of 1001089120 is about 1000.3629082816.

The spelling of 1001089120 in words is "one billion, one million, eighty-nine thousand, one hundred twenty".