8300121024 has 112 divisors (see below), whose sum is σ = 23974523552. Its totient is φ = 2518843392.

The previous prime is 8300121019. The next prime is 8300121029. The reversal of 8300121024 is 4201210038.

It is a Cunningham number, because it is equal to 91105²-1.

It is an interprime number because it is at equal distance from previous prime (8300121019) and next prime (8300121029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8300121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159432 + ... + 204984.

It is an arithmetic number, because the mean of its divisors is an integer number (214058246).

Almost surely, 2^8300121024 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 8300121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987261776).

8300121024 is an abundant number, since it is smaller than the sum of its proper divisors (15674402528).

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

8300121024 is a wasteful number, since it uses less digits than its factorization.

8300121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45654 (or 45644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8300121024 is about 91104.9999945118. Note that the first 5 decimals coincide. The cubic root of 8300121024 is about 2024.7036927829.

The spelling of 8300121024 in words is "eight billion, three hundred million, one hundred twenty-one thousand, twenty-four".