4116122304 has 168 divisors, whose sum is σ = 13335975360. Its totient is φ = 1114089984.

The previous prime is 4116122303. The next prime is 4116122327. The reversal of 4116122304 is 4032216114.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (4116122303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167239 + ... + 190265.

Almost surely, 2^4116122304 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 4116122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667987680).

4116122304 is an abundant number, since it is smaller than the sum of its proper divisors (9219853056).

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

4116122304 is a wasteful number, since it uses less digits than its factorization.

4116122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23075 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4116122304 is about 64157.0128980457. The cubic root of 4116122304 is about 1602.6158127883.

Adding to 4116122304 its reverse (4032216114), we get a palindrome (8148338418).

The spelling of 4116122304 in words is "four billion, one hundred sixteen million, one hundred twenty-two thousand, three hundred four".