5124131303200 has 576 divisors, whose sum is σ = 15581013251328. Its totient is φ = 1602304819200.

The previous prime is 5124131303197. The next prime is 5124131303209. The reversal of 5124131303200 is 23031314215.

It is a happy number.

It is a super-2 number, since 2×5124131303200² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5124131303209) 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 95 ways as a sum of consecutive naturals, for example, 4338806610 + ... + 4338807790.

It is an arithmetic number, because the mean of its divisors is an integer number (27050370228).

Almost surely, 2^{5124131303200} is an apocalyptic number.

5124131303200 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 5124131303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790506625664).

5124131303200 is an abundant number, since it is smaller than the sum of its proper divisors (10456881948128).

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

5124131303200 is a wasteful number, since it uses less digits than its factorization.

5124131303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 5124131303200 its reverse (23031314215), we get a palindrome (5147162617415).

The spelling of 5124131303200 in words is "five trillion, one hundred twenty-four billion, one hundred thirty-one million, three hundred three thousand, two hundred".