5112000 has 168 divisors, whose sum is σ = 18544032. Its totient is φ = 1344000.

The previous prime is 5111999. The next prime is 5112001. The reversal of 5112000 is 2115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5111999) and next prime (5112001).

It is a super-2 number, since 2×5112000² = 52265088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (5112001) 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, 71965 + ... + 72035.

Almost surely, 2^5112000 is an apocalyptic number.

5112000 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 5112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272016).

5112000 is an abundant number, since it is smaller than the sum of its proper divisors (13432032).

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

5112000 is a wasteful number, since it uses less digits than its factorization.

5112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5112000 is about 2260.9732417700. The cubic root of 5112000 is about 172.2649602956.

Adding to 5112000 its reverse (2115), we get a palindrome (5114115).

The spelling of 5112000 in words is "five million, one hundred twelve thousand".