121516008 has 16 divisors (see below), whose sum is σ = 303790080. Its totient is φ = 40505328.

The previous prime is 121515997. The next prime is 121516027. The reversal of 121516008 is 800615121.

It is a super-2 number, since 2×121516008² = 29532280400512128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5063167 = 121516008 / (1 + 2 + 1 + 5 + 1 + 6 + 0 + 0 + 8).

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 3 ways as a sum of consecutive naturals, for example, 2531560 + ... + 2531607.

It is an arithmetic number, because the mean of its divisors is an integer number (18986880).

Almost surely, 2^121516008 is an apocalyptic number.

It is an amenable number.

121516008 is an abundant number, since it is smaller than the sum of its proper divisors (182274072).

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

121516008 is a wasteful number, since it uses less digits than its factorization.

121516008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063176 (or 5063172 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 121516008 is about 11023.4299562341. The cubic root of 121516008 is about 495.3108383343.

The spelling of 121516008 in words is "one hundred twenty-one million, five hundred sixteen thousand, eight".