121568301360 has 640 divisors, whose sum is σ = 480183552000. Its totient is φ = 27981803520.

The previous prime is 121568301251. The next prime is 121568301389. The reversal of 121568301360 is 63103865121.

121568301360 is a `hidden beast` number, since 1 + 2 + 1 + 568 + 30 + 1 + 3 + 60 = 666.

121568301360 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81424774 + ... + 81426266.

It is an arithmetic number, because the mean of its divisors is an integer number (750286800).

Almost surely, 2^121568301360 is an apocalyptic number.

121568301360 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 121568301360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240091776000).

121568301360 is an abundant number, since it is smaller than the sum of its proper divisors (358615250640).

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

121568301360 is a wasteful number, since it uses less digits than its factorization.

121568301360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 121568301360 in words is "one hundred twenty-one billion, five hundred sixty-eight million, three hundred one thousand, three hundred sixty".