12738700 has 72 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 4569600.

The previous prime is 12738673. The next prime is 12738701. The reversal of 12738700 is 783721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12738701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53181 + ... + 53419.

It is an arithmetic number, because the mean of its divisors is an integer number (425320).

Almost surely, 2^12738700 is an apocalyptic number.

12738700 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 12738700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

12738700 is an abundant number, since it is smaller than the sum of its proper divisors (17884340).

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

12738700 is a wasteful number, since it uses less digits than its factorization.

12738700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 12738700 is about 3569.1315470293. The cubic root of 12738700 is about 233.5473999211.

The spelling of 12738700 in words is "twelve million, seven hundred thirty-eight thousand, seven hundred".