121230482688 has 864 divisors, whose sum is σ = 445389235200. Its totient is φ = 30916214784.

The previous prime is 121230482657. The next prime is 121230482701. The reversal of 121230482688 is 886284032121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628137120 + ... + 628137312.

It is an arithmetic number, because the mean of its divisors is an integer number (515496800).

Almost surely, 2^121230482688 is an apocalyptic number.

121230482688 is a gapful number since it is divisible by the number (18) 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 121230482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222694617600).

121230482688 is an abundant number, since it is smaller than the sum of its proper divisors (324158752512).

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

121230482688 is a wasteful number, since it uses less digits than its factorization.

121230482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 121230482688 in words is "one hundred twenty-one billion, two hundred thirty million, four hundred eighty-two thousand, six hundred eighty-eight".