121110882312168 has 960 divisors, whose sum is σ = 406767712665600. Its totient is φ = 33557896270080.

The previous prime is 121110882312137. The next prime is 121110882312191. The reversal of 121110882312168 is 861213288011121.

121110882312168 is a `hidden beast` number, since 1 + 211 + 108 + 8 + 2 + 312 + 16 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32812483203 + ... + 32812486893.

It is an arithmetic number, because the mean of its divisors is an integer number (423716367360).

Almost surely, 2^{121110882312168} is an apocalyptic number.

121110882312168 is a gapful number since it is divisible by the number (18) 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 121110882312168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203383856332800).

121110882312168 is an abundant number, since it is smaller than the sum of its proper divisors (285656830353432).

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

121110882312168 is a wasteful number, since it uses less digits than its factorization.

121110882312168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 121110882312168 in words is "one hundred twenty-one trillion, one hundred ten billion, eight hundred eighty-two million, three hundred twelve thousand, one hundred sixty-eight".