12721410 has 96 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3070080.

The previous prime is 12721391. The next prime is 12721411. The reversal of 12721410 is 1412721.

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 a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12721411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97045 + ... + 97175.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 2^12721410 is an apocalyptic number.

12721410 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 12721410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

12721410 is an abundant number, since it is smaller than the sum of its proper divisors (23602878).

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

12721410 is a wasteful number, since it uses less digits than its factorization.

12721410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12721410 is about 3566.7085667321. The cubic root of 12721410 is about 233.4416889030.

It can be divided in two parts, 12721 and 410, that added together give a palindrome (13131).

The spelling of 12721410 in words is "twelve million, seven hundred twenty-one thousand, four hundred ten".