12705210 has 144 divisors (see below), whose sum is σ = 39907296. Its totient is φ = 2794176.

The previous prime is 12705197. The next prime is 12705211. The reversal of 12705210 is 1250721.

It is a super-2 number, since 2×12705210² = 322844722288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12705211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189597 + ... + 189663.

It is an arithmetic number, because the mean of its divisors is an integer number (277134).

Almost surely, 2^12705210 is an apocalyptic number.

12705210 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 12705210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953648).

12705210 is an abundant number, since it is smaller than the sum of its proper divisors (27202086).

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

12705210 is a wasteful number, since it uses less digits than its factorization.

12705210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12705210 is about 3564.4368419149. The cubic root of 12705210 is about 233.3425551911.

Adding to 12705210 its reverse (1250721), we get a palindrome (13955931).

The spelling of 12705210 in words is "twelve million, seven hundred five thousand, two hundred ten".