120517696 has 56 divisors (see below), whose sum is σ = 263904984. Its totient is φ = 54251520.

The previous prime is 120517693. The next prime is 120517699. The reversal of 120517696 is 696715021.

It is an interprime number because it is at equal distance from previous prime (120517693) and next prime (120517699).

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 119596096 = 960^2 + 10936^2 .

It is not an unprimeable number, because it can be changed into a prime (120517693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32346 + ... + 35878.

It is an arithmetic number, because the mean of its divisors is an integer number (4712589).

Almost surely, 2^120517696 is an apocalyptic number.

120517696 is a gapful number since it is divisible by the number (16) 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 120517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131952492).

120517696 is an abundant number, since it is smaller than the sum of its proper divisors (143387288).

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

120517696 is a wasteful number, since it uses less digits than its factorization.

120517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 120517696 is about 10978.0552011729. The cubic root of 120517696 is about 493.9507018068.

The spelling of 120517696 in words is "one hundred twenty million, five hundred seventeen thousand, six hundred ninety-six".