120561696 has 120 divisors (see below), whose sum is σ = 357884604. Its totient is φ = 39813120.

The previous prime is 120561677. The next prime is 120561703. The reversal of 120561696 is 696165021.

120561696 is a `hidden beast` number, since 1 + 2 + 0 + 561 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120560400 + 1296 = 10980^2 + 36^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 120561696.

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 19 ways as a sum of consecutive naturals, for example, 500136 + ... + 500376.

Almost surely, 2^120561696 is an apocalyptic number.

120561696 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 120561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178942302).

120561696 is an abundant number, since it is smaller than the sum of its proper divisors (237322908).

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

120561696 is a wasteful number, since it uses less digits than its factorization.

120561696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 120561696 is about 10980.0590162348. The cubic root of 120561696 is about 494.0108069123.

The spelling of 120561696 in words is "one hundred twenty million, five hundred sixty-one thousand, six hundred ninety-six".