120009120 has 384 divisors, whose sum is σ = 501645312. Its totient is φ = 23347200.

The previous prime is 120009107. The next prime is 120009121. The reversal of 120009120 is 21900021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120009120.

It is not an unprimeable number, because it can be changed into a prime (120009121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628225 + ... + 628415.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 2^120009120 is an apocalyptic number.

120009120 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 120009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250822656).

120009120 is an abundant number, since it is smaller than the sum of its proper divisors (381636192).

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

120009120 is a wasteful number, since it uses less digits than its factorization.

120009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 120009120 is about 10954.8674113382. The cubic root of 120009120 is about 493.2549100241.

Adding to 120009120 its reverse (21900021), we get a palindrome (141909141).

The spelling of 120009120 in words is "one hundred twenty million, nine thousand, one hundred twenty".