12896900 has 18 divisors (see below), whose sum is σ = 27986490. Its totient is φ = 5158720.

The previous prime is 12896887. The next prime is 12896903. The reversal of 12896900 is 969821.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 12517444 = 616^2 + 3538^2 .

It is a super-2 number, since 2×12896900² = 332660059220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12896903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64385 + ... + 64584.

It is an arithmetic number, because the mean of its divisors is an integer number (1554805).

Almost surely, 2^12896900 is an apocalyptic number.

12896900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12896900 is an abundant number, since it is smaller than the sum of its proper divisors (15089590).

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

12896900 is a wasteful number, since it uses less digits than its factorization.

12896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128983 (or 128976 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 12896900 is about 3591.2254175977. The cubic root of 12896900 is about 234.5102218211.

The spelling of 12896900 in words is "twelve million, eight hundred ninety-six thousand, nine hundred".