8122121280 has 672 divisors, whose sum is σ = 36426184704. Its totient is φ = 1611988992.

The previous prime is 8122121257. The next prime is 8122121281. The reversal of 8122121280 is 821212218.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (8122121281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4454449 + ... + 4456271.

It is an arithmetic number, because the mean of its divisors is an integer number (54205632).

Almost surely, 2^8122121280 is an apocalyptic number.

8122121280 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 8122121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213092352).

8122121280 is an abundant number, since it is smaller than the sum of its proper divisors (28304063424).

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

8122121280 is a wasteful number, since it uses less digits than its factorization.

8122121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8122121280 is about 90122.8122064553. The cubic root of 8122121280 is about 2010.1254247121.

Adding to 8122121280 its reverse (821212218), we get a palindrome (8943333498).

The spelling of 8122121280 in words is "eight billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred eighty".