201124020400 has 120 divisors (see below), whose sum is σ = 495430634160. Its totient is φ = 78420894720.

The previous prime is 201124020379. The next prime is 201124020401. The reversal of 201124020400 is 4020421102.

201124020400 is digitally balanced in base 3, 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 (16).

It is not an unprimeable number, because it can be changed into a prime (201124020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8743314 + ... + 8766286.

It is an arithmetic number, because the mean of its divisors is an integer number (4128588618).

Almost surely, 2^201124020400 is an apocalyptic number.

201124020400 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 201124020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247715317080).

201124020400 is an abundant number, since it is smaller than the sum of its proper divisors (294306613760).

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

201124020400 is a wasteful number, since it uses less digits than its factorization.

201124020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23543 (or 23532 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201124020400 its reverse (4020421102), we get a palindrome (205144441502).

The spelling of 201124020400 in words is "two hundred one billion, one hundred twenty-four million, twenty thousand, four hundred".