5112400 has 30 divisors (see below), whose sum is σ = 12283502. Its totient is φ = 2044800.

The previous prime is 5112389. The next prime is 5112403. The reversal of 5112400 is 42115.

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 4426816 = 828^2 + 2104^2 .

It is a super-2 number, since 2×5112400² = 52273267520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5991 + ... + 6790.

Almost surely, 2^5112400 is an apocalyptic number.

5112400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5112400 is an abundant number, since it is smaller than the sum of its proper divisors (7171102).

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

5112400 is a wasteful number, since it uses less digits than its factorization.

5112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5112400 is about 2261.0616975218. The cubic root of 5112400 is about 172.2694532656.

Adding to 5112400 its reverse (42115), we get a palindrome (5154515).

The spelling of 5112400 in words is "five million, one hundred twelve thousand, four hundred".