121121568 has 120 divisors (see below), whose sum is σ = 361147248. Its totient is φ = 39816576.

The previous prime is 121121543. The next prime is 121121573. The reversal of 121121568 is 865121121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214855 + ... + 215417.

Almost surely, 2^121121568 is an apocalyptic number.

121121568 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 121121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180573624).

121121568 is an abundant number, since it is smaller than the sum of its proper divisors (240025680).

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

121121568 is an equidigital number, since it uses as much as digits as its factorization.

121121568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 121121568 is about 11005.5244309392. The cubic root of 121121568 is about 494.7743323968.

Adding to 121121568 its reverse (865121121), we get a palindrome (986242689).

The spelling of 121121568 in words is "one hundred twenty-one million, one hundred twenty-one thousand, five hundred sixty-eight".