201124140 has 96 divisors (see below), whose sum is σ = 646593024. Its totient is φ = 45757440.

The previous prime is 201124129. The next prime is 201124141. The reversal of 201124140 is 41421102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (201124141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100227 + ... + 102213.

It is an arithmetic number, because the mean of its divisors is an integer number (6735344).

Almost surely, 2^201124140 is an apocalyptic number.

201124140 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 201124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323296512).

201124140 is an abundant number, since it is smaller than the sum of its proper divisors (445468884).

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

201124140 is a wasteful number, since it uses less digits than its factorization.

201124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201124140 is about 14181.8242832155. The cubic root of 201124140 is about 585.8971696543.

Adding to 201124140 its reverse (41421102), we get a palindrome (242545242).

The spelling of 201124140 in words is "two hundred one million, one hundred twenty-four thousand, one hundred forty".