12981696 has 112 divisors (see below), whose sum is σ = 42330624. Its totient is φ = 3419136.

The previous prime is 12981691. The next prime is 12981733. The reversal of 12981696 is 69618921.

12981696 = T₄₈₈ + T₄₈₉ + ... + T₅₇₈.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12981691) 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, 17101 + ... + 17843.

It is an arithmetic number, because the mean of its divisors is an integer number (377952).

Almost surely, 2^12981696 is an apocalyptic number.

12981696 is a gapful number since it is divisible by the number (16) 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 12981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312).

12981696 is an abundant number, since it is smaller than the sum of its proper divisors (29348928).

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

12981696 is a wasteful number, since it uses less digits than its factorization.

12981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 12981696 is about 3603.0120732520. The cubic root of 12981696 is about 235.0230609631.

The spelling of 12981696 in words is "twelve million, nine hundred eighty-one thousand, six hundred ninety-six".