4122242304 has 72 divisors (see below), whose sum is σ = 10981038432. Its totient is φ = 1372846080.

The previous prime is 4122242287. The next prime is 4122242309. The reversal of 4122242304 is 4032422214.

It is a super-2 number, since 2×4122242304² = 33985763225774456832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122242309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335547 + ... + 1338629.

Almost surely, 2^4122242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490519216).

4122242304 is an abundant number, since it is smaller than the sum of its proper divisors (6858796128).

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

4122242304 is a wasteful number, since it uses less digits than its factorization.

4122242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4122242304 is about 64204.6906697634. The cubic root of 4122242304 is about 1603.4096952415.

Adding to 4122242304 its reverse (4032422214), we get a palindrome (8154664518).

The spelling of 4122242304 in words is "four billion, one hundred twenty-two million, two hundred forty-two thousand, three hundred four".