12705040 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 4769280.

The previous prime is 12705031. The next prime is 12705041. The reversal of 12705040 is 4050721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12705040² = 322836082803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12704999 and 12705017.

It is not an unprimeable number, because it can be changed into a prime (12705041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116506 + ... + 116614.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^12705040 is an apocalyptic number.

12705040 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 12705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

12705040 is an abundant number, since it is smaller than the sum of its proper divisors (18721520).

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

12705040 is a wasteful number, since it uses less digits than its factorization.

12705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 12705040 is about 3564.4129951508. The cubic root of 12705040 is about 233.3415144524.

Adding to 12705040 its reverse (4050721), we get a palindrome (16755761).

The spelling of 12705040 in words is "twelve million, seven hundred five thousand, forty".