12800700 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3096000.

The previous prime is 12800663. The next prime is 12800707. The reversal of 12800700 is 700821.

12800700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29485 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^12800700 is an apocalyptic number.

12800700 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 12800700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12800700 is an abundant number, since it is smaller than the sum of its proper divisors (32196420).

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

12800700 is a wasteful number, since it uses less digits than its factorization.

12800700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12800700 is about 3577.8065906362. The cubic root of 12800700 is about 233.9256831718.

The spelling of 12800700 in words is "twelve million, eight hundred thousand, seven hundred".