12696400 has 30 divisors (see below), whose sum is σ = 30504062. Its totient is φ = 5078400.

The previous prime is 12696377. The next prime is 12696413. The reversal of 12696400 is 469621.

It can be written as a sum of positive squares in 3 ways, for example, as 1567504 + 11128896 = 1252^2 + 3336^2 .

It is a super-2 number, since 2×12696400² = 322397145920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15471 + ... + 16270.

Almost surely, 2^12696400 is an apocalyptic number.

12696400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12696400 is an abundant number, since it is smaller than the sum of its proper divisors (17807662).

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

12696400 is a wasteful number, since it uses less digits than its factorization.

12696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31759 (or 31748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12696400 is about 3563.2008082621. The cubic root of 12696400 is about 233.2886082077.

The spelling of 12696400 in words is "twelve million, six hundred ninety-six thousand, four hundred".