12786900 has 72 divisors (see below), whose sum is σ = 42288960. Its totient is φ = 2922240.

The previous prime is 12786889. The next prime is 12786901. The reversal of 12786900 is 968721.

It is a super-2 number, since 2×12786900² = 327009623220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786901) 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 23 ways as a sum of consecutive naturals, for example, 945 + ... + 5144.

Almost surely, 2^12786900 is an apocalyptic number.

12786900 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 12786900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144480).

12786900 is an abundant number, since it is smaller than the sum of its proper divisors (29502060).

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

12786900 is a wasteful number, since it uses less digits than its factorization.

12786900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12786900 is about 3575.8775146808. The cubic root of 12786900 is about 233.8415905002.

The spelling of 12786900 in words is "twelve million, seven hundred eighty-six thousand, nine hundred".