121305888 has 162 divisors, whose sum is σ = 385710507. Its totient is φ = 36136320.

The previous prime is 121305853. The next prime is 121305901. The reversal of 121305888 is 888503121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 60652944 + 60652944 = 7788^2 + 7788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7788.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2056003 + ... + 2056061.

Almost surely, 2^121305888 is an apocalyptic number.

121305888 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 121305888

121305888 is an abundant number, since it is smaller than the sum of its proper divisors (264404619).

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

121305888 is a wasteful number, since it uses less digits than its factorization.

121305888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 121305888 is about 11013.8952237617. The cubic root of 121305888 is about 495.0251839039.

The spelling of 121305888 in words is "one hundred twenty-one million, three hundred five thousand, eight hundred eighty-eight".