1009227120 has 240 divisors, whose sum is σ = 3590770176. Its totient is φ = 233868800.

The previous prime is 1009227029. The next prime is 1009227169. The reversal of 1009227120 is 217229001.

1009227120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667165 + ... + 668675.

Almost surely, 2^1009227120 is an apocalyptic number.

1009227120 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 1009227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

1009227120 is an abundant number, since it is smaller than the sum of its proper divisors (2581543056).

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

1009227120 is a wasteful number, since it uses less digits than its factorization.

1009227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1009227120 is about 31768.3351782872. The cubic root of 1009227120 is about 1003.0662948924.

The spelling of 1009227120 in words is "one billion, nine million, two hundred twenty-seven thousand, one hundred twenty".