121704768 has 140 divisors (see below), whose sum is σ = 382269492. Its totient is φ = 38154240.

The previous prime is 121704767. The next prime is 121704811. The reversal of 121704768 is 867407121.

121704768 is a `hidden beast` number, since 12 + 170 + 476 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 45805824 = 8712^2 + 6768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121704767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87438 + ... + 88818.

Almost surely, 2^121704768 is an apocalyptic number.

121704768 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 121704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191134746).

121704768 is an abundant number, since it is smaller than the sum of its proper divisors (260564724).

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

121704768 is a wasteful number, since it uses less digits than its factorization.

121704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 121704768 is about 11031.9883973833. The cubic root of 121704768 is about 495.5671735728.

The spelling of 121704768 in words is "one hundred twenty-one million, seven hundred four thousand, seven hundred sixty-eight".