4012100 has 36 divisors (see below), whose sum is σ = 8882244. Its totient is φ = 1572480.

The previous prime is 4012081. The next prime is 4012103. The reversal of 4012100 is 12104.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 4008004 = 64^2 + 2002^2 .

It is not an unprimeable number, because it can be changed into a prime (4012103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4922 + ... + 5678.

It is an arithmetic number, because the mean of its divisors is an integer number (246729).

Almost surely, 2^4012100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441122).

4012100 is an abundant number, since it is smaller than the sum of its proper divisors (4870144).

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

4012100 is a wasteful number, since it uses less digits than its factorization.

4012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

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

The square root of 4012100 is about 2003.0227157973. The cubic root of 4012100 is about 158.9000070101.

Adding to 4012100 its reverse (12104), we get a palindrome (4024204).

The spelling of 4012100 in words is "four million, twelve thousand, one hundred".