121263268 has 96 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 46569600.

The previous prime is 121263257. The next prime is 121263277. The reversal of 121263268 is 862362121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802993 + ... + 803143.

It is an arithmetic number, because the mean of its divisors is an integer number (2808960).

Almost surely, 2^121263268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121263268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

121263268 is an abundant number, since it is smaller than the sum of its proper divisors (148396892).

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

121263268 is a wasteful number, since it uses less digits than its factorization.

121263268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 121263268 is about 11011.9602251370. The cubic root of 121263268 is about 494.9672025340.

The spelling of 121263268 in words is "one hundred twenty-one million, two hundred sixty-three thousand, two hundred sixty-eight".