5032123200 has 252 divisors, whose sum is σ = 19261866988. Its totient is φ = 1238630400.

The previous prime is 5032123183. The next prime is 5032123207. The reversal of 5032123200 is 23212305.

It can be written as a sum of positive squares in 6 ways, for example, as 181279296 + 4850843904 = 13464^2 + 69648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032123207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173760 + ... + 200640.

Almost surely, 2^5032123200 is an apocalyptic number.

5032123200 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 5032123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630933494).

5032123200 is an abundant number, since it is smaller than the sum of its proper divisors (14229743788).

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

5032123200 is a wasteful number, since it uses less digits than its factorization.

5032123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26922 (or 26904 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5032123200 is about 70937.4597797243. The cubic root of 5032123200 is about 1713.6301255077.

Adding to 5032123200 its reverse (23212305), we get a palindrome (5055335505).

The spelling of 5032123200 in words is "five billion, thirty-two million, one hundred twenty-three thousand, two hundred".