4122424331200 has 252 divisors, whose sum is σ = 11845833001200. Its totient is φ = 1407896125440.

The previous prime is 4122424331189. The next prime is 4122424331203. The reversal of 4122424331200 is 21334242214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122424331203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20046501 + ... + 20251099.

Almost surely, 2^{4122424331200} is an apocalyptic number.

4122424331200 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 4122424331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922916500600).

4122424331200 is an abundant number, since it is smaller than the sum of its proper divisors (7723408670000).

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

4122424331200 is a wasteful number, since it uses less digits than its factorization.

4122424331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204892 (or 204870 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4122424331200 its reverse (21334242214), we get a palindrome (4143758573414).

The spelling of 4122424331200 in words is "four trillion, one hundred twenty-two billion, four hundred twenty-four million, three hundred thirty-one thousand, two hundred".