121161646080 has 228 divisors, whose sum is σ = 420067132992. Its totient is φ = 32306626560.

The previous prime is 121161646037. The next prime is 121161646087. The reversal of 121161646080 is 80646161121.

121161646080 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 1 + 646 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121161646087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11791345 + ... + 11801615.

Almost surely, 2^121161646080 is an apocalyptic number.

121161646080 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 121161646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210033566496).

121161646080 is an abundant number, since it is smaller than the sum of its proper divisors (298905486912).

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

121161646080 is an frugal number, since it uses more digits than its factorization.

121161646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 121161646080 in words is "one hundred twenty-one billion, one hundred sixty-one million, six hundred forty-six thousand, eighty".