121408896000 has 1056 divisors, whose sum is σ = 487060494336. Its totient is φ = 26284032000.

The previous prime is 121408895987. The next prime is 121408896001. The reversal of 121408896000 is 698804121.

It is a self number, because there is not a number n which added to its sum of digits gives 121408896000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121408896001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2583167977 + ... + 2583168023.

Almost surely, 2^121408896000 is an apocalyptic number.

121408896000 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 121408896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243530247168).

121408896000 is an abundant number, since it is smaller than the sum of its proper divisors (365651598336).

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

121408896000 is an equidigital number, since it uses as much as digits as its factorization.

121408896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 121408896000 in words is "one hundred twenty-one billion, four hundred eight million, eight hundred ninety-six thousand".