12130585174890 has 384 divisors, whose sum is σ = 42179029401600. Its totient is φ = 2346496335360.

The previous prime is 12130585174853. The next prime is 12130585174907. The reversal of 12130585174890 is 9847158503121.

12130585174890 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 585 + 17 + 48 + 9 + 0 = 666.

It is a super-2 number, since 2×12130585174890² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3566571 + ... + 6081249.

It is an arithmetic number, because the mean of its divisors is an integer number (109841222400).

Almost surely, 2^{12130585174890} is an apocalyptic number.

12130585174890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130585174890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089514700800).

12130585174890 is an abundant number, since it is smaller than the sum of its proper divisors (30048444226710).

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

12130585174890 is a wasteful number, since it uses less digits than its factorization.

12130585174890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514762 (or 2514759 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 12130585174890 in words is "twelve trillion, one hundred thirty billion, five hundred eighty-five million, one hundred seventy-four thousand, eight hundred ninety".