121746768 has 80 divisors (see below), whose sum is σ = 369518016. Its totient is φ = 34053120.

The previous prime is 121746767. The next prime is 121746769. The reversal of 121746768 is 867647121.

It is an interprime number because it is at equal distance from previous prime (121746767) and next prime (121746769).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121746767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005 + ... + 15732.

Almost surely, 2^121746768 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 121746768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184759008).

121746768 is an abundant number, since it is smaller than the sum of its proper divisors (247771248).

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

121746768 is a wasteful number, since it uses less digits than its factorization.

121746768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772 (or 17766 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 121746768 is about 11033.8917884851. The cubic root of 121746768 is about 495.6241733322.

The spelling of 121746768 in words is "one hundred twenty-one million, seven hundred forty-six thousand, seven hundred sixty-eight".