120909064320 has 768 divisors, whose sum is σ = 491833555200. Its totient is φ = 27060633600.

The previous prime is 120909064319. The next prime is 120909064327. The reversal of 120909064320 is 23460909021.

120909064320 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 9 + 0 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120909064327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42259690 + ... + 42262550.

It is an arithmetic number, because the mean of its divisors is an integer number (640408275).

Almost surely, 2^120909064320 is an apocalyptic number.

120909064320 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 120909064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245916777600).

120909064320 is an abundant number, since it is smaller than the sum of its proper divisors (370924490880).

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

120909064320 is a wasteful number, since it uses less digits than its factorization.

120909064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 120909064320 in words is "one hundred twenty billion, nine hundred nine million, sixty-four thousand, three hundred twenty".