5112405043200 has 1296 divisors, whose sum is σ = 22938241975740. Its totient is φ = 1078599352320.

The previous prime is 5112405043169. The next prime is 5112405043237. The reversal of 5112405043200 is 23405042115.

5112405043200 is a `hidden beast` number, since 5 + 1 + 12 + 405 + 0 + 43 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2219575550976 + 2892829492224 = 1489824^2 + 1700832^2 .

It is a super-2 number, since 2×5112405043200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293520892 + ... + 293538308.

Almost surely, 2^{5112405043200} is an apocalyptic number.

5112405043200 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 5112405043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469120987870).

5112405043200 is an abundant number, since it is smaller than the sum of its proper divisors (17825836932540).

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

5112405043200 is a wasteful number, since it uses less digits than its factorization.

5112405043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 5112405043200 in words is "five trillion, one hundred twelve billion, four hundred five million, forty-three thousand, two hundred".