201124041144 has 128 divisors (see below), whose sum is σ = 569346624000. Its totient is φ = 58741562880.

The previous prime is 201124041077. The next prime is 201124041191. The reversal of 201124041144 is 441140421102.

It is a super-3 number, since 3×201124041144³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 833082 + ... + 1047030.

It is an arithmetic number, because the mean of its divisors is an integer number (4448020500).

Almost surely, 2^201124041144 is an apocalyptic number.

201124041144 is a gapful number since it is divisible by the number (24) 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 201124041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284673312000).

201124041144 is an abundant number, since it is smaller than the sum of its proper divisors (368222582856).

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

201124041144 is a wasteful number, since it uses less digits than its factorization.

201124041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214125 (or 214121 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 201124041144 its reverse (441140421102), we get a palindrome (642264462246).

The spelling of 201124041144 in words is "two hundred one billion, one hundred twenty-four million, forty-one thousand, one hundred forty-four".