120992768 has 88 divisors (see below), whose sum is σ = 266519400. Its totient is φ = 54558720.

The previous prime is 120992759. The next prime is 120992777. The reversal of 120992768 is 867299021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120992759) and next prime (120992777).

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 108826624 = 3488^2 + 10432^2 .

It is a congruent number.

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, 811958 + ... + 812106.

Almost surely, 2^120992768 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 120992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133259700).

120992768 is an abundant number, since it is smaller than the sum of its proper divisors (145526632).

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

120992768 is a wasteful number, since it uses less digits than its factorization.

120992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 120992768 is about 10999.6712678152. The cubic root of 120992768 is about 494.5988901053.

The spelling of 120992768 in words is "one hundred twenty million, nine hundred ninety-two thousand, seven hundred sixty-eight".