120585072000 has 512 divisors, whose sum is σ = 420356851200. Its totient is φ = 30539980800.

The previous prime is 120585071989. The next prime is 120585072001. The reversal of 120585072000 is 270585021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120585072001) 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, 76367211 + ... + 76368789.

It is an arithmetic number, because the mean of its divisors is an integer number (821009475).

Almost surely, 2^120585072000 is an apocalyptic number.

120585072000 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 120585072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210178425600).

120585072000 is an abundant number, since it is smaller than the sum of its proper divisors (299771779200).

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

120585072000 is a wasteful number, since it uses less digits than its factorization.

120585072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 120585072000 in words is "one hundred twenty billion, five hundred eighty-five million, seventy-two thousand".