12820700 has 72 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4825600.

The previous prime is 12820699. The next prime is 12820711. The reversal of 12820700 is 702821.

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 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, 217271 + ... + 217329.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^12820700 is an apocalyptic number.

12820700 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 12820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12820700 is an abundant number, since it is smaller than the sum of its proper divisors (16708660).

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

12820700 is a wasteful number, since it uses less digits than its factorization.

12820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12820700 is about 3580.6005082947. The cubic root of 12820700 is about 234.0474494081.

The spelling of 12820700 in words is "twelve million, eight hundred twenty thousand, seven hundred".