121751168882112 has 504 divisors, whose sum is σ = 443068230823920. Its totient is φ = 31608709816320.

The previous prime is 121751168882087. The next prime is 121751168882141. The reversal of 121751168882112 is 211288861157121.

It is a happy number.

121751168882112 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 511 + 6 + 8 + 8 + 8 + 2 + 112 = 666.

121751168882112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 663369814 + ... + 663553322.

Almost surely, 2^{121751168882112} is an apocalyptic number.

121751168882112 is a gapful number since it is divisible by the number (12) 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 121751168882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221534115411960).

121751168882112 is an abundant number, since it is smaller than the sum of its proper divisors (321317061941808).

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

121751168882112 is a wasteful number, since it uses less digits than its factorization.

121751168882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185689 (or 185669 counting only the distinct ones).

The product of its digits is 860160, while the sum is 54.

The spelling of 121751168882112 in words is "one hundred twenty-one trillion, seven hundred fifty-one billion, one hundred sixty-eight million, eight hundred eighty-two thousand, one hundred twelve".