8122930283520 has 1056 divisors, whose sum is σ = 31626007725312. Its totient is φ = 1987247996928.

The previous prime is 8122930283491. The next prime is 8122930283543. The reversal of 8122930283520 is 253820392218.

8122930283520 is a `hidden beast` number, since 8 + 1 + 2 + 293 + 0 + 2 + 8 + 352 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2798114389 + ... + 2798117291.

It is an arithmetic number, because the mean of its divisors is an integer number (29948870952).

Almost surely, 2^{8122930283520} is an apocalyptic number.

8122930283520 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 8122930283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813003862656).

8122930283520 is an abundant number, since it is smaller than the sum of its proper divisors (23503077441792).

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

8122930283520 is a wasteful number, since it uses less digits than its factorization.

8122930283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8122930283520 in words is "eight trillion, one hundred twenty-two billion, nine hundred thirty million, two hundred eighty-three thousand, five hundred twenty".