201541120 has 160 divisors (see below), whose sum is σ = 559490976. Its totient is φ = 68812800.

The previous prime is 201541061. The next prime is 201541127. The reversal of 201541120 is 21145102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201541094 and 201541103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201541127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478510 + ... + 478930.

Almost surely, 2^201541120 is an apocalyptic number.

201541120 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 201541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279745488).

201541120 is an abundant number, since it is smaller than the sum of its proper divisors (357949856).

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

201541120 is a wasteful number, since it uses less digits than its factorization.

201541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 201541120 is about 14196.5178829176. The cubic root of 201541120 is about 586.3017933186.

Adding to 201541120 its reverse (21145102), we get a palindrome (222686222).

The spelling of 201541120 in words is "two hundred one million, five hundred forty-one thousand, one hundred twenty".