121348680228864 has 672 divisors, whose sum is σ = 412369609518720. Its totient is φ = 35173352079360.

The previous prime is 121348680228817. The next prime is 121348680228869. The reversal of 121348680228864 is 468822086843121.

It is a happy number.

121348680228864 is a `hidden beast` number, since 1 + 2 + 1 + 348 + 6 + 8 + 0 + 2 + 288 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (121348680228869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615456504 + ... + 615653640.

It is an arithmetic number, because the mean of its divisors is an integer number (613645252260).

Almost surely, 2^{121348680228864} 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 121348680228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206184804759360).

121348680228864 is an abundant number, since it is smaller than the sum of its proper divisors (291020929289856).

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

121348680228864 is a wasteful number, since it uses less digits than its factorization.

121348680228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197217 (or 197176 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 121348680228864 in words is "one hundred twenty-one trillion, three hundred forty-eight billion, six hundred eighty million, two hundred twenty-eight thousand, eight hundred sixty-four".