121678380216960 has 256 divisors, whose sum is σ = 443499130828800. Its totient is φ = 27797005946880.

The previous prime is 121678380216959. The next prime is 121678380216983. The reversal of 121678380216960 is 69612083876121.

It is a happy number.

121678380216960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 121678380216894 and 121678380216903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22136371 + ... + 27080909.

It is an arithmetic number, because the mean of its divisors is an integer number (1732418479800).

Almost surely, 2^{121678380216960} is an apocalyptic number.

121678380216960 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 121678380216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221749565414400).

121678380216960 is an abundant number, since it is smaller than the sum of its proper divisors (321820750611840).

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

121678380216960 is a wasteful number, since it uses less digits than its factorization.

121678380216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946399 (or 4946387 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 121678380216960 in words is "one hundred twenty-one trillion, six hundred seventy-eight billion, three hundred eighty million, two hundred sixteen thousand, nine hundred sixty".