120617178682880 has 320 divisors, whose sum is σ = 320987447542080. Its totient is φ = 43097879347200.

The previous prime is 120617178682837. The next prime is 120617178682907. The reversal of 120617178682880 is 88286871716021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 1712571506 + ... + 1712641934.

It is an arithmetic number, because the mean of its divisors is an integer number (1003085773569).

Almost surely, 2^{120617178682880} is an apocalyptic number.

120617178682880 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 120617178682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160493723771040).

120617178682880 is an abundant number, since it is smaller than the sum of its proper divisors (200370268859200).

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

120617178682880 is an equidigital number, since it uses as much as digits as its factorization.

120617178682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71521 (or 71505 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 65.

The spelling of 120617178682880 in words is "one hundred twenty trillion, six hundred seventeen billion, one hundred seventy-eight million, six hundred eighty-two thousand, eight hundred eighty".