121686079680 has 756 divisors, whose sum is σ = 478726073280. Its totient is φ = 29438069760.

The previous prime is 121686079673. The next prime is 121686079721. The reversal of 121686079680 is 86970686121.

121686079680 is a `hidden beast` number, since 1 + 21 + 6 + 8 + 607 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 254041681 + ... + 254042159.

Almost surely, 2^121686079680 is an apocalyptic number.

121686079680 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 121686079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239363036640).

121686079680 is an abundant number, since it is smaller than the sum of its proper divisors (357039993600).

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

121686079680 is an frugal number, since it uses more digits than its factorization.

121686079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 121686079680 in words is "one hundred twenty-one billion, six hundred eighty-six million, seventy-nine thousand, six hundred eighty".