120242000 has 80 divisors (see below), whose sum is σ = 295963200. Its totient is φ = 47235200.

The previous prime is 120241987. The next prime is 120242009. The reversal of 120242000 is 242021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117491 + ... + 118509.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^120242000 is an apocalyptic number.

120242000 is a gapful number since it is divisible by the number (10) 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 120242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

120242000 is an abundant number, since it is smaller than the sum of its proper divisors (175721200).

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

120242000 is a wasteful number, since it uses less digits than its factorization.

120242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 120242000 is about 10965.4913250615. The cubic root of 120242000 is about 493.5737607400.

Adding to 120242000 its reverse (242021), we get a palindrome (120484021).

The spelling of 120242000 in words is "one hundred twenty million, two hundred forty-two thousand".