120313116000 has 576 divisors, whose sum is σ = 532364990976. Its totient is φ = 24999552000.

The previous prime is 120313115987. The next prime is 120313116067. The reversal of 120313116000 is 611313021.

120313116000 is a `hidden beast` number, since 1 + 2 + 0 + 31 + 31 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750299 + ... + 2793701.

It is an arithmetic number, because the mean of its divisors is an integer number (924244776).

Almost surely, 2^120313116000 is an apocalyptic number.

120313116000 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 120313116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266182495488).

120313116000 is an abundant number, since it is smaller than the sum of its proper divisors (412051874976).

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

120313116000 is a wasteful number, since it uses less digits than its factorization.

120313116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43452 (or 43431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120313116000 its reverse (611313021), we get a palindrome (120924429021).

The spelling of 120313116000 in words is "one hundred twenty billion, three hundred thirteen million, one hundred sixteen thousand".