12705140 has 48 divisors (see below), whose sum is σ = 30745344. Its totient is φ = 4320000.

The previous prime is 12705127. The next prime is 12705163. The reversal of 12705140 is 4150721.

It is a super-2 number, since 2×12705140² = 322841164839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 20840 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (640528).

Almost surely, 2^12705140 is an apocalyptic number.

12705140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372672).

12705140 is an abundant number, since it is smaller than the sum of its proper divisors (18040204).

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

12705140 is a wasteful number, since it uses less digits than its factorization.

12705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 12705140 is about 3564.4270226784. The cubic root of 12705140 is about 233.3421266527.

Adding to 12705140 its reverse (4150721), we get a palindrome (16855861).

The spelling of 12705140 in words is "twelve million, seven hundred five thousand, one hundred forty".