12826100 has 72 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 4320000.

The previous prime is 12826097. The next prime is 12826141. The reversal of 12826100 is 162821.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50975 + ... + 51225.

It is an arithmetic number, because the mean of its divisors is an integer number (449624).

Almost surely, 2^12826100 is an apocalyptic number.

12826100 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 12826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

12826100 is an abundant number, since it is smaller than the sum of its proper divisors (19546828).

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

12826100 is a wasteful number, since it uses less digits than its factorization.

12826100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12826100 is about 3581.3544923674. The cubic root of 12826100 is about 234.0803045779.

Adding to 12826100 its reverse (162821), we get a palindrome (12988921).

The spelling of 12826100 in words is "twelve million, eight hundred twenty-six thousand, one hundred".