5012118232800 has 1440 divisors, whose sum is σ = 19968976591200. Its totient is φ = 1090448916480.

The previous prime is 5012118232789. The next prime is 5012118232831. The reversal of 5012118232800 is 82328112105.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 14872754232 + ... + 14872754568.

It is an arithmetic number, because the mean of its divisors is an integer number (13867344855).

Almost surely, 2^{5012118232800} is an apocalyptic number.

5012118232800 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 5012118232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984488295600).

5012118232800 is an abundant number, since it is smaller than the sum of its proper divisors (14956858358400).

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

5012118232800 is a wasteful number, since it uses less digits than its factorization.

5012118232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 5012118232800 in words is "five trillion, twelve billion, one hundred eighteen million, two hundred thirty-two thousand, eight hundred".