120817242 has 144 divisors (see below), whose sum is σ = 337237992. Its totient is φ = 30965760.

The previous prime is 120817237. The next prime is 120817253. The reversal of 120817242 is 242718021.

It can be written as a sum of positive squares in 4 ways, for example, as 88906041 + 31911201 = 9429^2 + 5649^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469978 + ... + 470234.

Almost surely, 2^120817242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120817242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618996).

120817242 is an abundant number, since it is smaller than the sum of its proper divisors (216420750).

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

120817242 is a wasteful number, since it uses less digits than its factorization.

120817242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 120817242 is about 10991.6896790257. The cubic root of 120817242 is about 494.3596003766.

The spelling of 120817242 in words is "one hundred twenty million, eight hundred seventeen thousand, two hundred forty-two".