8442106120 has 96 divisors (see below), whose sum is σ = 22163221080. Its totient is φ = 2885621760.

The previous prime is 8442106117. The next prime is 8442106121. The reversal of 8442106120 is 216012448.

It can be written as a sum of positive squares in 4 ways, for example, as 6783499044 + 1658607076 = 82362^2 + 40726^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8442106121) 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, 654130 + ... + 666910.

Almost surely, 2^8442106120 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 8442106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081610540).

8442106120 is an abundant number, since it is smaller than the sum of its proper divisors (13721114960).

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

8442106120 is a wasteful number, since it uses less digits than its factorization.

8442106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8442106120 is about 91880.9344750041. The cubic root of 8442106120 is about 2036.1836023366.

Adding to 8442106120 its reverse (216012448), we get a palindrome (8658118568).

The spelling of 8442106120 in words is "eight billion, four hundred forty-two million, one hundred six thousand, one hundred twenty".