120513344000 has 480 divisors, whose sum is σ = 354545807616. Its totient is φ = 40732876800.

The previous prime is 120513343967. The next prime is 120513344023. The reversal of 120513344000 is 443315021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260287769 + ... + 260288231.

Almost surely, 2^120513344000 is an apocalyptic number.

120513344000 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 120513344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177272903808).

120513344000 is an abundant number, since it is smaller than the sum of its proper divisors (234032463616).

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

120513344000 is an frugal number, since it uses more digits than its factorization.

120513344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 120513344000 its reverse (443315021), we get a palindrome (120956659021).

The spelling of 120513344000 in words is "one hundred twenty billion, five hundred thirteen million, three hundred forty-four thousand".