120068964630720 has 1008 divisors, whose sum is σ = 492059213268480. Its totient is φ = 26780298596352.

The previous prime is 120068964630661. The next prime is 120068964630751. The reversal of 120068964630720 is 27036469860021.

120068964630720 is a `hidden beast` number, since 1 + 20 + 0 + 6 + 8 + 96 + 463 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6693171511 + ... + 6693189449.

Almost surely, 2^{120068964630720} is an apocalyptic number.

120068964630720 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 120068964630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246029606634240).

120068964630720 is an abundant number, since it is smaller than the sum of its proper divisors (371990248637760).

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

120068964630720 is a wasteful number, since it uses less digits than its factorization.

120068964630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19122 (or 19102 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 120068964630720 in words is "one hundred twenty trillion, sixty-eight billion, nine hundred sixty-four million, six hundred thirty thousand, seven hundred twenty".