12796900 has 36 divisors (see below), whose sum is σ = 28165732. Its totient is φ = 5045760.

The previous prime is 12796897. The next prime is 12796907. The reversal of 12796900 is 969721.

It can be written as a sum of positive squares in 6 ways, for example, as 2090916 + 10705984 = 1446^2 + 3272^2 .

It is a super-2 number, since 2×12796900² = 327521299220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12796907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6424 + ... + 8176.

Almost surely, 2^12796900 is an apocalyptic number.

12796900 is a gapful number since it is divisible by the number (10) 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 12796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082866).

12796900 is an abundant number, since it is smaller than the sum of its proper divisors (15368832).

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

12796900 is a wasteful number, since it uses less digits than its factorization.

12796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 12796900 is about 3577.2754995946. The cubic root of 12796900 is about 233.9025332511.

The spelling of 12796900 in words is "twelve million, seven hundred ninety-six thousand, nine hundred".