121759651783968 has 384 divisors, whose sum is σ = 372547480273920. Its totient is φ = 34432934215680.

The previous prime is 121759651783963. The next prime is 121759651784077. The reversal of 121759651783968 is 869387156957121.

121759651783968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121759651783893 and 121759651783902.

It is not an unprimeable number, because it can be changed into a prime (121759651783961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369394080 + ... + 369723552.

It is an arithmetic number, because the mean of its divisors is an integer number (970175729880).

Almost surely, 2^{121759651783968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121759651783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186273740136960).

121759651783968 is an abundant number, since it is smaller than the sum of its proper divisors (250787828489952).

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

121759651783968 is a wasteful number, since it uses less digits than its factorization.

121759651783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329792 (or 329784 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 78.

The spelling of 121759651783968 in words is "one hundred twenty-one trillion, seven hundred fifty-nine billion, six hundred fifty-one million, seven hundred eighty-three thousand, nine hundred sixty-eight".