120613310720 has 288 divisors, whose sum is σ = 343225209600. Its totient is φ = 39733198848.

The previous prime is 120613310717. The next prime is 120613310767. The reversal of 120613310720 is 27013316021.

It is a self number, because there is not a number n which added to its sum of digits gives 120613310720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59502347 + ... + 59504373.

It is an arithmetic number, because the mean of its divisors is an integer number (1191754200).

Almost surely, 2^120613310720 is an apocalyptic number.

120613310720 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 120613310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171612604800).

120613310720 is an abundant number, since it is smaller than the sum of its proper divisors (222611898880).

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

120613310720 is a wasteful number, since it uses less digits than its factorization.

120613310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 120613310720 its reverse (27013316021), we get a palindrome (147626626741).

The spelling of 120613310720 in words is "one hundred twenty billion, six hundred thirteen million, three hundred ten thousand, seven hundred twenty".