4122004200 has 96 divisors (see below), whose sum is σ = 12788764800. Its totient is φ = 1098293760.

The previous prime is 4122004189. The next prime is 4122004247. The reversal of 4122004200 is 24002214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4122004200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049841 + ... + 1053759.

It is an arithmetic number, because the mean of its divisors is an integer number (133216300).

Almost surely, 2^4122004200 is an apocalyptic number.

4122004200 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 4122004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394382400).

4122004200 is an abundant number, since it is smaller than the sum of its proper divisors (8666760600).

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

4122004200 is a wasteful number, since it uses less digits than its factorization.

4122004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4122004200 is about 64202.8363859417. The cubic root of 4122004200 is about 1603.3788232399.

Adding to 4122004200 its reverse (24002214), we get a palindrome (4146006414).

The spelling of 4122004200 in words is "four billion, one hundred twenty-two million, four thousand, two hundred".