201442120 has 64 divisors (see below), whose sum is σ = 511531200. Its totient is φ = 70721280.

The previous prime is 201442117. The next prime is 201442121. The reversal of 201442120 is 21244102.

201442120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201442094 and 201442103.

It is not an unprimeable number, because it can be changed into a prime (201442121) 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, 4867 + ... + 20653.

It is an arithmetic number, because the mean of its divisors is an integer number (7992675).

Almost surely, 2^201442120 is an apocalyptic number.

201442120 is a gapful number since it is divisible by the number (20) 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 201442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255765600).

201442120 is an abundant number, since it is smaller than the sum of its proper divisors (310089080).

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

201442120 is a wasteful number, since it uses less digits than its factorization.

201442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 201442120 is about 14193.0306841069. The cubic root of 201442120 is about 586.2057775375.

Adding to 201442120 its reverse (21244102), we get a palindrome (222686222).

The spelling of 201442120 in words is "two hundred one million, four hundred forty-two thousand, one hundred twenty".