201120120 has 96 divisors (see below), whose sum is σ = 655686720. Its totient is φ = 53464320.

The previous prime is 201120113. The next prime is 201120137. The reversal of 201120120 is 21021102.

201120120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150897 + ... + 152223.

It is an arithmetic number, because the mean of its divisors is an integer number (6830070).

Almost surely, 2^201120120 is an apocalyptic number.

201120120 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 201120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327843360).

201120120 is an abundant number, since it is smaller than the sum of its proper divisors (454566600).

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

201120120 is a wasteful number, since it uses less digits than its factorization.

201120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201120120 is about 14181.6825517990. The cubic root of 201120120 is about 585.8932660581.

Adding to 201120120 its reverse (21021102), we get a palindrome (222141222).

The spelling of 201120120 in words is "two hundred one million, one hundred twenty thousand, one hundred twenty".