4112000 has 64 divisors (see below), whose sum is σ = 10263240. Its totient is φ = 1638400.

The previous prime is 4111993. The next prime is 4112021. The reversal of 4112000 is 2114.

It can be written as a sum of positive squares in 4 ways, for example, as 2534464 + 1577536 = 1592^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15872 + ... + 16128.

Almost surely, 2^4112000 is an apocalyptic number.

4112000 is a gapful number since it is divisible by the number (40) 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 4112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131620).

4112000 is an abundant number, since it is smaller than the sum of its proper divisors (6151240).

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

4112000 is an equidigital number, since it uses as much as digits as its factorization.

4112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4112000 is about 2027.8066969019. The cubic root of 4112000 is about 160.2080626531.

Adding to 4112000 its reverse (2114), we get a palindrome (4114114).

The spelling of 4112000 in words is "four million, one hundred twelve thousand".