121856768 has 72 divisors (see below), whose sum is σ = 268458960. Its totient is φ = 54743040.

The previous prime is 121856741. The next prime is 121856773. The reversal of 121856768 is 867658121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306746 + ... + 307142.

Almost surely, 2^121856768 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 121856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134229480).

121856768 is an abundant number, since it is smaller than the sum of its proper divisors (146602192).

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

121856768 is a wasteful number, since it uses less digits than its factorization.

121856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 121856768 is about 11038.8753050299. The cubic root of 121856768 is about 495.7733963157.

The spelling of 121856768 in words is "one hundred twenty-one million, eight hundred fifty-six thousand, seven hundred sixty-eight".