120682752 has 144 divisors (see below), whose sum is σ = 342999552. Its totient is φ = 37601280.

The previous prime is 120682739. The next prime is 120682763. The reversal of 120682752 is 257286021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880828 + ... + 880964.

Almost surely, 2^120682752 is an apocalyptic number.

120682752 is a gapful number since it is divisible by the number (12) 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 120682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171499776).

120682752 is an abundant number, since it is smaller than the sum of its proper divisors (222316800).

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

120682752 is a wasteful number, since it uses less digits than its factorization.

120682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 120682752 is about 10985.5701718209. The cubic root of 120682752 is about 494.1760970205.

The spelling of 120682752 in words is "one hundred twenty million, six hundred eighty-two thousand, seven hundred fifty-two".