1009221120 has 400 divisors, whose sum is σ = 3755081088. Its totient is φ = 258785280.

The previous prime is 1009221113. The next prime is 1009221179. The reversal of 1009221120 is 211229001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1009221093 and 1009221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6428082 + ... + 6428238.

Almost surely, 2^1009221120 is an apocalyptic number.

1009221120 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 1009221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877540544).

1009221120 is an abundant number, since it is smaller than the sum of its proper divisors (2745859968).

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

1009221120 is an equidigital number, since it uses as much as digits as its factorization.

1009221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1009221120 is about 31768.2407444920. The cubic root of 1009221120 is about 1003.0643070974.

The spelling of 1009221120 in words is "one billion, nine million, two hundred twenty-one thousand, one hundred twenty".