121352868 has 144 divisors (see below), whose sum is σ = 399934080. Its totient is φ = 30108672.

The previous prime is 121352857. The next prime is 121352887. The reversal of 121352868 is 868253121.

It is a happy number.

121352868 is a `hidden beast` number, since 121 + 3 + 528 + 6 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 54603 + ... + 56781.

It is an arithmetic number, because the mean of its divisors is an integer number (2777320).

Almost surely, 2^121352868 is an apocalyptic number.

121352868 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 121352868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199967040).

121352868 is an abundant number, since it is smaller than the sum of its proper divisors (278581212).

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

121352868 is a wasteful number, since it uses less digits than its factorization.

121352868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2221 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 121352868 is about 11016.0277777428. The cubic root of 121352868 is about 495.0890809988.

The spelling of 121352868 in words is "one hundred twenty-one million, three hundred fifty-two thousand, eight hundred sixty-eight".