201123344500 has 96 divisors (see below), whose sum is σ = 474539214240. Its totient is φ = 74025907200.

The previous prime is 201123344491. The next prime is 201123344531. The reversal of 201123344500 is 5443321102.

It can be written as a sum of positive squares in 16 ways, for example, as 200007517284 + 1115827216 = 447222^2 + 33404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2011696 + ... + 2109304.

It is an arithmetic number, because the mean of its divisors is an integer number (4943116815).

Almost surely, 2^201123344500 is an apocalyptic number.

201123344500 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 201123344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237269607120).

201123344500 is an abundant number, since it is smaller than the sum of its proper divisors (273415869740).

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

201123344500 is a wasteful number, since it uses less digits than its factorization.

201123344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97958 (or 97946 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 201123344500 its reverse (5443321102), we get a palindrome (206566665602).

The spelling of 201123344500 in words is "two hundred one billion, one hundred twenty-three million, three hundred forty-four thousand, five hundred".