12986100 has 108 divisors (see below), whose sum is σ = 41705664. Its totient is φ = 3378240.

The previous prime is 12986089. The next prime is 12986111. The reversal of 12986100 is 168921.

12986100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12986089) and next prime (12986111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42147 + ... + 42453.

Almost surely, 2^12986100 is an apocalyptic number.

12986100 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 12986100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852832).

12986100 is an abundant number, since it is smaller than the sum of its proper divisors (28719564).

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

12986100 is a wasteful number, since it uses less digits than its factorization.

12986100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12986100 is about 3603.6231767486. The cubic root of 12986100 is about 235.0496349058.

The spelling of 12986100 in words is "twelve million, nine hundred eighty-six thousand, one hundred".