20124819 has 48 divisors (see below), whose sum is σ = 35992320. Its totient is φ = 10653120.

The previous prime is 20124803. The next prime is 20124823. The reversal of 20124819 is 91842102.

It is not a de Polignac number, because 20124819 - 2⁴ = 20124803 is a prime.

It is a super-3 number, since 3×20124819³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20124792 and 20124801.

It is not an unprimeable number, because it can be changed into a prime (20124619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24042 + ... + 24864.

It is an arithmetic number, because the mean of its divisors is an integer number (749840).

Almost surely, 2^20124819 is an apocalyptic number.

20124819 is a deficient number, since it is larger than the sum of its proper divisors (15867501).

20124819 is a wasteful number, since it uses less digits than its factorization.

20124819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20124819 is about 4486.0694377149. The cubic root of 20124819 is about 272.0052758132.

The spelling of 20124819 in words is "twenty million, one hundred twenty-four thousand, eight hundred nineteen".