5005123200 has 1152 divisors, whose sum is σ = 23242976640. Its totient is φ = 995328000.

The previous prime is 5005123183. The next prime is 5005123229. The reversal of 5005123200 is 23215005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82051170 + ... + 82051230.

It is an arithmetic number, because the mean of its divisors is an integer number (20176195).

Almost surely, 2^5005123200 is an apocalyptic number.

5005123200 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 5005123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621488320).

5005123200 is an abundant number, since it is smaller than the sum of its proper divisors (18237853440).

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

5005123200 is a wasteful number, since it uses less digits than its factorization.

5005123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5005123200 is about 70746.8953382408. The cubic root of 5005123200 is about 1710.5597838991.

Adding to 5005123200 its reverse (23215005), we get a palindrome (5028338205).

The spelling of 5005123200 in words is "five billion, five million, one hundred twenty-three thousand, two hundred".