4124221200 has 180 divisors, whose sum is σ = 15613451568. Its totient is φ = 999801600.

The previous prime is 4124221177. The next prime is 4124221207. The reversal of 4124221200 is 21224214.

4124221200 is a `hidden beast` number, since 41 + 2 + 422 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4124221207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12474 + ... + 91673.

Almost surely, 2^4124221200 is an apocalyptic number.

4124221200 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 4124221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806725784).

4124221200 is an abundant number, since it is smaller than the sum of its proper divisors (11489230368).

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

4124221200 is a wasteful number, since it uses less digits than its factorization.

4124221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104182 (or 104168 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4124221200 is about 64220.0996573503. The cubic root of 4124221200 is about 1603.6662282318. Note that the first 3 decimals are identical.

Adding to 4124221200 its reverse (21224214), we get a palindrome (4145445414).

The spelling of 4124221200 in words is "four billion, one hundred twenty-four million, two hundred twenty-one thousand, two hundred".