4122353200 has 240 divisors, whose sum is σ = 11721124800. Its totient is φ = 1363968000.

The previous prime is 4122353173. The next prime is 4122353203. The reversal of 4122353200 is 23532214.

It is not an unprimeable number, because it can be changed into a prime (4122353203) 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 47 ways as a sum of consecutive naturals, for example, 17105080 + ... + 17105320.

It is an arithmetic number, because the mean of its divisors is an integer number (48838020).

Almost surely, 2^4122353200 is an apocalyptic number.

4122353200 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 4122353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860562400).

4122353200 is an abundant number, since it is smaller than the sum of its proper divisors (7598771600).

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

4122353200 is a wasteful number, since it uses less digits than its factorization.

4122353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4122353200 is about 64205.5542768692. The cubic root of 4122353200 is about 1603.4240733489.

Adding to 4122353200 its reverse (23532214), we get a palindrome (4145885414).

The spelling of 4122353200 in words is "four billion, one hundred twenty-two million, three hundred fifty-three thousand, two hundred".