120866833831680 has 864 divisors, whose sum is σ = 435601079746560. Its totient is φ = 30915007119360.

The previous prime is 120866833831663. The next prime is 120866833831721. The reversal of 120866833831680 is 86138338668021.

It is a happy number.

120866833831680 is a `hidden beast` number, since 1 + 2 + 0 + 86 + 68 + 338 + 3 + 168 + 0 = 666.

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, 25019006865 + ... + 25019011695.

Almost surely, 2^{120866833831680} is an apocalyptic number.

120866833831680 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 120866833831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217800539873280).

120866833831680 is an abundant number, since it is smaller than the sum of its proper divisors (314734245914880).

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

120866833831680 is a wasteful number, since it uses less digits than its factorization.

120866833831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 120866833831680 in words is "one hundred twenty trillion, eight hundred sixty-six billion, eight hundred thirty-three million, eight hundred thirty-one thousand, six hundred eighty".