120252258 has 48 divisors (see below), whose sum is σ = 300867840. Its totient is φ = 34000128.

The previous prime is 120252247. The next prime is 120252259. The reversal of 120252258 is 852252021.

It is not an unprimeable number, because it can be changed into a prime (120252259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7303 + ... + 17141.

It is an arithmetic number, because the mean of its divisors is an integer number (6268080).

Almost surely, 2^120252258 is an apocalyptic number.

120252258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120252258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433920).

120252258 is an abundant number, since it is smaller than the sum of its proper divisors (180615582).

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

120252258 is a wasteful number, since it uses less digits than its factorization.

120252258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120252258 is about 10965.9590551853. The cubic root of 120252258 is about 493.5877961454.

The spelling of 120252258 in words is "one hundred twenty million, two hundred fifty-two thousand, two hundred fifty-eight".