8121251424 has 576 divisors, whose sum is σ = 28073848320. Its totient is φ = 2022113280.

The previous prime is 8121251389. The next prime is 8121251477. The reversal of 8121251424 is 4241521218.

It is a junction number, because it is equal to n+sod(n) for n = 8121251391 and 8121251400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91249972 + ... + 91250060.

It is an arithmetic number, because the mean of its divisors is an integer number (48739320).

Almost surely, 2^8121251424 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 8121251424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036924160).

8121251424 is an abundant number, since it is smaller than the sum of its proper divisors (19952596896).

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

8121251424 is a wasteful number, since it uses less digits than its factorization.

8121251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 8121251424 is about 90117.9861292961. The cubic root of 8121251424 is about 2010.0536625855.

The spelling of 8121251424 in words is "eight billion, one hundred twenty-one million, two hundred fifty-one thousand, four hundred twenty-four".