121580865614208 has 1536 divisors, whose sum is σ = 447286778265600. Its totient is φ = 28844675112960.

The previous prime is 121580865614207. The next prime is 121580865614227. The reversal of 121580865614208 is 802416568085121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121580865614203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95059315713 + ... + 95059316991.

It is an arithmetic number, because the mean of its divisors is an integer number (291202329600).

Almost surely, 2^{121580865614208} 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 121580865614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223643389132800).

121580865614208 is an abundant number, since it is smaller than the sum of its proper divisors (325705912651392).

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

121580865614208 is a wasteful number, since it uses less digits than its factorization.

121580865614208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 57.

The spelling of 121580865614208 in words is "one hundred twenty-one trillion, five hundred eighty billion, eight hundred sixty-five million, six hundred fourteen thousand, two hundred eight".