8121112440 has 256 divisors, whose sum is σ = 29477606400. Its totient is φ = 1750339584.

The previous prime is 8121112427. The next prime is 8121112453. The reversal of 8121112440 is 442111218.

It is an interprime number because it is at equal distance from previous prime (8121112427) and next prime (8121112453).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8121112440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043604 + ... + 1051356.

It is an arithmetic number, because the mean of its divisors is an integer number (115146900).

Almost surely, 2^8121112440 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 8121112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738803200).

8121112440 is an abundant number, since it is smaller than the sum of its proper divisors (21356493960).

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

8121112440 is a wasteful number, since it uses less digits than its factorization.

8121112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8121112440 is about 90117.2150035719. The cubic root of 8121112440 is about 2010.0421960895.

Adding to 8121112440 its reverse (442111218), we get a palindrome (8563223658).

The spelling of 8121112440 in words is "eight billion, one hundred twenty-one million, one hundred twelve thousand, four hundred forty".