12164500 has 24 divisors (see below), whose sum is σ = 26568360. Its totient is φ = 4865600.

The previous prime is 12164497. The next prime is 12164513. The reversal of 12164500 is 546121.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 12138256 = 162^2 + 3484^2 .

It is a super-3 number, since 3×12164500³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11665 + ... + 12664.

It is an arithmetic number, because the mean of its divisors is an integer number (1107015).

Almost surely, 2^12164500 is an apocalyptic number.

12164500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164500 is an abundant number, since it is smaller than the sum of its proper divisors (14403860).

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

12164500 is a wasteful number, since it uses less digits than its factorization.

12164500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348 (or 24336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 12164500 is about 3487.7643269005. The cubic root of 12164500 is about 229.9842459279.

The spelling of 12164500 in words is "twelve million, one hundred sixty-four thousand, five hundred".