201132120 has 128 divisors (see below), whose sum is σ = 694656000. Its totient is φ = 45636096.

The previous prime is 201132103. The next prime is 201132133. The reversal of 201132120 is 21231102.

201132120 is digitally balanced in base 2, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 201132096 and 201132105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124357 + ... + 125963.

It is an arithmetic number, because the mean of its divisors is an integer number (5427000).

Almost surely, 2^201132120 is an apocalyptic number.

201132120 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 201132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347328000).

201132120 is an abundant number, since it is smaller than the sum of its proper divisors (493523880).

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

201132120 is a wasteful number, since it uses less digits than its factorization.

201132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201132120 is about 14182.1056264576. The cubic root of 201132120 is about 585.9049184301.

Adding to 201132120 its reverse (21231102), we get a palindrome (222363222).

The spelling of 201132120 in words is "two hundred one million, one hundred thirty-two thousand, one hundred twenty".