121287868416000 has 2016 divisors, whose sum is σ = 514445568698880. Its totient is φ = 27103592448000.

The previous prime is 121287868415999. The next prime is 121287868416023. The reversal of 121287868416000 is 614868782121.

121287868416000 is a `hidden beast` number, since 1 + 2 + 1 + 28 + 7 + 8 + 6 + 8 + 4 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168689663641 + ... + 168689664359.

It is an arithmetic number, because the mean of its divisors is an integer number (255181333680).

Almost surely, 2^{121287868416000} is an apocalyptic number.

121287868416000 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 121287868416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257222784349440).

121287868416000 is an abundant number, since it is smaller than the sum of its proper divisors (393157700282880).

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

121287868416000 is an frugal number, since it uses more digits than its factorization.

121287868416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 121287868416000 in words is "one hundred twenty-one trillion, two hundred eighty-seven billion, eight hundred sixty-eight million, four hundred sixteen thousand".