12584373102 has 48 divisors (see below), whose sum is σ = 31169973120. Its totient is φ = 3594535056.

The previous prime is 12584373091. The next prime is 12584373103. The reversal of 12584373102 is 20137348521.

12584373102 is a `hidden beast` number, since 1 + 2 + 584 + 3 + 73 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×12584373102² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584373103) 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 23 ways as a sum of consecutive naturals, for example, 522849 + ... + 546387.

It is an arithmetic number, because the mean of its divisors is an integer number (649374440).

Almost surely, 2^12584373102 is an apocalyptic number.

12584373102 is an abundant number, since it is smaller than the sum of its proper divisors (18585600018).

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

12584373102 is a wasteful number, since it uses less digits than its factorization.

12584373102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27797 (or 27794 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12584373102 in words is "twelve billion, five hundred eighty-four million, three hundred seventy-three thousand, one hundred two".