1009079730120 has 768 divisors, whose sum is σ = 4053267993600. Its totient is φ = 198178928640.

The previous prime is 1009079730083. The next prime is 1009079730149. The reversal of 1009079730120 is 210379709001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 790194922 + ... + 790196198.

It is an arithmetic number, because the mean of its divisors is an integer number (5277692700).

Almost surely, 2^{1009079730120} is an apocalyptic number.

1009079730120 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 1009079730120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026633996800).

1009079730120 is an abundant number, since it is smaller than the sum of its proper divisors (3044188263480).

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

1009079730120 is a wasteful number, since it uses less digits than its factorization.

1009079730120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The spelling of 1009079730120 in words is "one trillion, nine billion, seventy-nine million, seven hundred thirty thousand, one hundred twenty".