6232009605120 has 960 divisors, whose sum is σ = 24039882108000. Its totient is φ = 1531088732160.

The previous prime is 6232009605109. The next prime is 6232009605121. The reversal of 6232009605120 is 215069002326.

6232009605120 is a `hidden beast` number, since 6 + 2 + 3 + 20 + 0 + 9 + 605 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6232009605121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11961630460 + ... + 11961630980.

Almost surely, 2^{6232009605120} is an apocalyptic number.

6232009605120 is a gapful number since it is divisible by the number (60) 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 6232009605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019941054000).

6232009605120 is an abundant number, since it is smaller than the sum of its proper divisors (17807872502880).

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

6232009605120 is an frugal number, since it uses more digits than its factorization.

6232009605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6232009605120 in words is "six trillion, two hundred thirty-two billion, nine million, six hundred five thousand, one hundred twenty".