8124205842 has 24 divisors (see below), whose sum is σ = 18031775580. Its totient is φ = 2642017920.

The previous prime is 8124205829. The next prime is 8124205907. The reversal of 8124205842 is 2485024218.

It can be written as a sum of positive squares in 2 ways, for example, as 7168839561 + 955366281 = 84669^2 + 30909^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8124205797 and 8124205806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5503467 + ... + 5504942.

Almost surely, 2^8124205842 is an apocalyptic number.

8124205842 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

8124205842 is an abundant number, since it is smaller than the sum of its proper divisors (9907569738).

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

8124205842 is a wasteful number, since it uses less digits than its factorization.

8124205842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008458 (or 11008455 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8124205842 is about 90134.3765829664. The cubic root of 8124205842 is about 2010.2973778470.

The spelling of 8124205842 in words is "eight billion, one hundred twenty-four million, two hundred five thousand, eight hundred forty-two".