5201122544200 has 192 divisors, whose sum is σ = 13986167328000. Its totient is φ = 1778881824000.

The previous prime is 5201122544141. The next prime is 5201122544207. The reversal of 5201122544200 is 24452211025.

It is a happy number.

It is a super-3 number, since 3×5201122544200³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5201122544207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5362615 + ... + 6257785.

It is an arithmetic number, because the mean of its divisors is an integer number (72844621500).

Almost surely, 2^{5201122544200} is an apocalyptic number.

5201122544200 is a gapful number since it is divisible by the number (50) 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 5201122544200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993083664000).

5201122544200 is an abundant number, since it is smaller than the sum of its proper divisors (8785044783800).

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

5201122544200 is a wasteful number, since it uses less digits than its factorization.

5201122544200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895356 (or 895347 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 5201122544200 its reverse (24452211025), we get a palindrome (5225574755225).

The spelling of 5201122544200 in words is "five trillion, two hundred one billion, one hundred twenty-two million, five hundred forty-four thousand, two hundred".