5112800 has 144 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1574400.

The previous prime is 5112791. The next prime is 5112803. The reversal of 5112800 is 82115.

5112800 = T₄₂₇ + T₄₂₈ + ... + T₄₇₆.

It is a super-2 number, since 2×5112800² = 52281447680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61559 + ... + 61641.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 2^5112800 is an apocalyptic number.

5112800 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 5112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5112800 is an abundant number, since it is smaller than the sum of its proper divisors (10636192).

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

5112800 is a wasteful number, since it uses less digits than its factorization.

5112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 5112800 is about 2261.1501498131. The cubic root of 5112800 is about 172.2739460011.

Adding to 5112800 its reverse (82115), we get a palindrome (5194915).

The spelling of 5112800 in words is "five million, one hundred twelve thousand, eight hundred".