8112424320 has 1536 divisors, whose sum is σ = 39851481600. Its totient is φ = 1532805120.

The previous prime is 8112424283. The next prime is 8112424321. The reversal of 8112424320 is 234242118.

It is a super-2 number, since 2×8112424320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8112424321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121080927 + ... + 121080993.

It is an arithmetic number, because the mean of its divisors is an integer number (25944975).

Almost surely, 2^8112424320 is an apocalyptic number.

8112424320 is a gapful number since it is divisible by the number (80) 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 8112424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925740800).

8112424320 is an abundant number, since it is smaller than the sum of its proper divisors (31739057280).

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

8112424320 is a wasteful number, since it uses less digits than its factorization.

8112424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8112424320 is about 90068.9975518769. The cubic root of 8112424320 is about 2009.3251465790.

Adding to 8112424320 its reverse (234242118), we get a palindrome (8346666438).

The spelling of 8112424320 in words is "eight billion, one hundred twelve million, four hundred twenty-four thousand, three hundred twenty".