4012124800 has 96 divisors (see below), whose sum is σ = 10051365600. Its totient is φ = 1582156800.

The previous prime is 4012124783. The next prime is 4012124801. The reversal of 4012124800 is 84212104.

It is not an unprimeable number, because it can be changed into a prime (4012124801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218371 + ... + 236029.

It is an arithmetic number, because the mean of its divisors is an integer number (104701725).

Almost surely, 2^4012124800 is an apocalyptic number.

4012124800 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 4012124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025682800).

4012124800 is an abundant number, since it is smaller than the sum of its proper divisors (6039240800).

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

4012124800 is a wasteful number, since it uses less digits than its factorization.

4012124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17754 (or 17737 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4012124800 is about 63341.3356347970. The cubic root of 4012124800 is about 1589.0033441240.

Adding to 4012124800 its reverse (84212104), we get a palindrome (4096336904).

The spelling of 4012124800 in words is "four billion, twelve million, one hundred twenty-four thousand, eight hundred".